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Finding the Fourth Proportional to 1,424.25, 1,965.47 and 803.25

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Solution

The fourth proportional to 1,424.25, 1,965.47 and 803.25 is: 1,108.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,424.25 : 1,965.47 = 803.25 : x
  2. Step 2: Convert to fraction form
    1,424.25/1,965.47 = 803.25/x
  3. Step 3: Cross multiply
    1,424.25x = 1,965.47 × 803.25
  4. Step 4: Simplify right side
    1,424.25x = 1,578,759.76
  5. Step 5: Solve for x
    x = 1,578,759.76/1,424.25
  6. Step 6: Final answer
    x = 1,108.49

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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.