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Finding the Fourth Proportional to 470.57, 649.08 and 372.29

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Solution

The fourth proportional to 470.57, 649.08 and 372.29 is: 513.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    470.57 : 649.08 = 372.29 : x
  2. Step 2: Convert to fraction form
    470.57/649.08 = 372.29/x
  3. Step 3: Cross multiply
    470.57x = 649.08 × 372.29
  4. Step 4: Simplify right side
    470.57x = 241,645.99
  5. Step 5: Solve for x
    x = 241,645.99/470.57
  6. Step 6: Final answer
    x = 513.52

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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.