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Finding the Fourth Proportional to 2,390.52, 3,585.40 and 658.76

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Solution

The fourth proportional to 2,390.52, 3,585.40 and 658.76 is: 988.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,390.52 : 3,585.40 = 658.76 : x
  2. Step 2: Convert to fraction form
    2,390.52/3,585.40 = 658.76/x
  3. Step 3: Cross multiply
    2,390.52x = 3,585.40 × 658.76
  4. Step 4: Simplify right side
    2,390.52x = 2,361,918.10
  5. Step 5: Solve for x
    x = 2,361,918.10/2,390.52
  6. Step 6: Final answer
    x = 988.04

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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.