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Finding the Fourth Proportional to 1,304.92, 1,799.25 and 1,055.47

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Solution

The fourth proportional to 1,304.92, 1,799.25 and 1,055.47 is: 1,455.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,304.92 : 1,799.25 = 1,055.47 : x
  2. Step 2: Convert to fraction form
    1,304.92/1,799.25 = 1,055.47/x
  3. Step 3: Cross multiply
    1,304.92x = 1,799.25 × 1,055.47
  4. Step 4: Simplify right side
    1,304.92x = 1,899,054.40
  5. Step 5: Solve for x
    x = 1,899,054.40/1,304.92
  6. Step 6: Final answer
    x = 1,455.30

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Half scale
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Double scale
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Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.