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Finding the Fourth Proportional to 502.60, 691.62 and 444.52

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Solution

The fourth proportional to 502.60, 691.62 and 444.52 is: 611.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    502.60 : 691.62 = 444.52 : x
  2. Step 2: Convert to fraction form
    502.60/691.62 = 444.52/x
  3. Step 3: Cross multiply
    502.60x = 691.62 × 444.52
  4. Step 4: Simplify right side
    502.60x = 307,438.92
  5. Step 5: Solve for x
    x = 307,438.92/502.60
  6. Step 6: Final answer
    x = 611.70

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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.