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Finding the Fourth Proportional to 1,104.04, 1,656.08 and 282.32

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Solution

The fourth proportional to 1,104.04, 1,656.08 and 282.32 is: 423.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,104.04 : 1,656.08 = 282.32 : x
  2. Step 2: Convert to fraction form
    1,104.04/1,656.08 = 282.32/x
  3. Step 3: Cross multiply
    1,104.04x = 1,656.08 × 282.32
  4. Step 4: Simplify right side
    1,104.04x = 467,544.51
  5. Step 5: Solve for x
    x = 467,544.51/1,104.04
  6. Step 6: Final answer
    x = 423.49

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Double scale
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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.