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Finding the Fourth Proportional to 508.32, 692.10 and 506.70

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Solution

The fourth proportional to 508.32, 692.10 and 506.70 is: 689.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    508.32 : 692.10 = 506.70 : x
  2. Step 2: Convert to fraction form
    508.32/692.10 = 506.70/x
  3. Step 3: Cross multiply
    508.32x = 692.10 × 506.70
  4. Step 4: Simplify right side
    508.32x = 350,687.07
  5. Step 5: Solve for x
    x = 350,687.07/508.32
  6. Step 6: Final answer
    x = 689.89

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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.