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Finding the Fourth Proportional to 1,616.96, 2,425.92 and 752.32

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Solution

The fourth proportional to 1,616.96, 2,425.92 and 752.32 is: 1,128.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,616.96 : 2,425.92 = 752.32 : x
  2. Step 2: Convert to fraction form
    1,616.96/2,425.92 = 752.32/x
  3. Step 3: Cross multiply
    1,616.96x = 2,425.92 × 752.32
  4. Step 4: Simplify right side
    1,616.96x = 1,825,068.13
  5. Step 5: Solve for x
    x = 1,825,068.13/1,616.96
  6. Step 6: Final answer
    x = 1,128.70

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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.