Home / 1,125.16-1,688.24-432.04

Finding the Fourth Proportional to 1,125.16, 1,688.24 and 432.04

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Solution

The fourth proportional to 1,125.16, 1,688.24 and 432.04 is: 648.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,125.16 : 1,688.24 = 432.04 : x
  2. Step 2: Convert to fraction form
    1,125.16/1,688.24 = 432.04/x
  3. Step 3: Cross multiply
    1,125.16x = 1,688.24 × 432.04
  4. Step 4: Simplify right side
    1,125.16x = 729,387.21
  5. Step 5: Solve for x
    x = 729,387.21/1,125.16
  6. Step 6: Final answer
    x = 648.25

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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.