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Finding the Fourth Proportional to 409.64, 562.13 and 372.52

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Solution

The fourth proportional to 409.64, 562.13 and 372.52 is: 511.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    409.64 : 562.13 = 372.52 : x
  2. Step 2: Convert to fraction form
    409.64/562.13 = 372.52/x
  3. Step 3: Cross multiply
    409.64x = 562.13 × 372.52
  4. Step 4: Simplify right side
    409.64x = 209,402.10
  5. Step 5: Solve for x
    x = 209,402.10/409.64
  6. Step 6: Final answer
    x = 511.18

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.