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Finding the Fourth Proportional to 557.04, 769.43 and 508.75

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Solution

The fourth proportional to 557.04, 769.43 and 508.75 is: 702.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    557.04 : 769.43 = 508.75 : x
  2. Step 2: Convert to fraction form
    557.04/769.43 = 508.75/x
  3. Step 3: Cross multiply
    557.04x = 769.43 × 508.75
  4. Step 4: Simplify right side
    557.04x = 391,446.86
  5. Step 5: Solve for x
    x = 391,446.86/557.04
  6. Step 6: Final answer
    x = 702.72

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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.