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Finding the Fourth Proportional to 470.88, 707.68 and 394.32

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Solution

The fourth proportional to 470.88, 707.68 and 394.32 is: 592.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    470.88 : 707.68 = 394.32 : x
  2. Step 2: Convert to fraction form
    470.88/707.68 = 394.32/x
  3. Step 3: Cross multiply
    470.88x = 707.68 × 394.32
  4. Step 4: Simplify right side
    470.88x = 279,052.38
  5. Step 5: Solve for x
    x = 279,052.38/470.88
  6. Step 6: Final answer
    x = 592.62

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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.