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Finding the Fourth Proportional to 502.47, 692.10 and 354.84

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Solution

The fourth proportional to 502.47, 692.10 and 354.84 is: 488.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    502.47 : 692.10 = 354.84 : x
  2. Step 2: Convert to fraction form
    502.47/692.10 = 354.84/x
  3. Step 3: Cross multiply
    502.47x = 692.10 × 354.84
  4. Step 4: Simplify right side
    502.47x = 245,584.76
  5. Step 5: Solve for x
    x = 245,584.76/502.47
  6. Step 6: Final answer
    x = 488.76

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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.