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Finding the Fourth Proportional to 1,658.27, 2,487.45 and 488.31

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Solution

The fourth proportional to 1,658.27, 2,487.45 and 488.31 is: 732.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,658.27 : 2,487.45 = 488.31 : x
  2. Step 2: Convert to fraction form
    1,658.27/2,487.45 = 488.31/x
  3. Step 3: Cross multiply
    1,658.27x = 2,487.45 × 488.31
  4. Step 4: Simplify right side
    1,658.27x = 1,214,646.71
  5. Step 5: Solve for x
    x = 1,214,646.71/1,658.27
  6. Step 6: Final answer
    x = 732.48

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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.