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Finding the Fourth Proportional to 502.12, 691.30 and 346.60

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Solution

The fourth proportional to 502.12, 691.30 and 346.60 is: 477.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    502.12 : 691.30 = 346.60 : x
  2. Step 2: Convert to fraction form
    502.12/691.30 = 346.60/x
  3. Step 3: Cross multiply
    502.12x = 691.30 × 346.60
  4. Step 4: Simplify right side
    502.12x = 239,604.58
  5. Step 5: Solve for x
    x = 239,604.58/502.12
  6. Step 6: Final answer
    x = 477.19

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.