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Finding the Fourth Proportional to 502.60, 691.70 and 414.60

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Solution

The fourth proportional to 502.60, 691.70 and 414.60 is: 570.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    502.60 : 691.70 = 414.60 : x
  2. Step 2: Convert to fraction form
    502.60/691.70 = 414.60/x
  3. Step 3: Cross multiply
    502.60x = 691.70 × 414.60
  4. Step 4: Simplify right side
    502.60x = 286,778.82
  5. Step 5: Solve for x
    x = 286,778.82/502.60
  6. Step 6: Final answer
    x = 570.59

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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.