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Finding the Fourth Proportional to 470.86, 650.10 and 387.04

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Solution

The fourth proportional to 470.86, 650.10 and 387.04 is: 534.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    470.86 : 650.10 = 387.04 : x
  2. Step 2: Convert to fraction form
    470.86/650.10 = 387.04/x
  3. Step 3: Cross multiply
    470.86x = 650.10 × 387.04
  4. Step 4: Simplify right side
    470.86x = 251,614.70
  5. Step 5: Solve for x
    x = 251,614.70/470.86
  6. Step 6: Final answer
    x = 534.37

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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.