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Finding the Fourth Proportional to 510.32, 694.82 and 508.70

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Solution

The fourth proportional to 510.32, 694.82 and 508.70 is: 692.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    510.32 : 694.82 = 508.70 : x
  2. Step 2: Convert to fraction form
    510.32/694.82 = 508.70/x
  3. Step 3: Cross multiply
    510.32x = 694.82 × 508.70
  4. Step 4: Simplify right side
    510.32x = 353,454.93
  5. Step 5: Solve for x
    x = 353,454.93/510.32
  6. Step 6: Final answer
    x = 692.61

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.