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Finding the Fourth Proportional to 512.40, 707.04 and 337.68

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Solution

The fourth proportional to 512.40, 707.04 and 337.68 is: 465.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    512.40 : 707.04 = 337.68 : x
  2. Step 2: Convert to fraction form
    512.40/707.04 = 337.68/x
  3. Step 3: Cross multiply
    512.40x = 707.04 × 337.68
  4. Step 4: Simplify right side
    512.40x = 238,753.27
  5. Step 5: Solve for x
    x = 238,753.27/512.40
  6. Step 6: Final answer
    x = 465.95

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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.