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Finding the Fourth Proportional to 1,658.73, 2,488.04 and 426.15

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Solution

The fourth proportional to 1,658.73, 2,488.04 and 426.15 is: 639.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,658.73 : 2,488.04 = 426.15 : x
  2. Step 2: Convert to fraction form
    1,658.73/2,488.04 = 426.15/x
  3. Step 3: Cross multiply
    1,658.73x = 2,488.04 × 426.15
  4. Step 4: Simplify right side
    1,658.73x = 1,060,276.12
  5. Step 5: Solve for x
    x = 1,060,276.12/1,658.73
  6. Step 6: Final answer
    x = 639.21

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.