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Finding the Fourth Proportional to 1,658.73, 2,487.26 and 928.11

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Solution

The fourth proportional to 1,658.73, 2,487.26 and 928.11 is: 1,391.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,658.73 : 2,487.26 = 928.11 : x
  2. Step 2: Convert to fraction form
    1,658.73/2,487.26 = 928.11/x
  3. Step 3: Cross multiply
    1,658.73x = 2,487.26 × 928.11
  4. Step 4: Simplify right side
    1,658.73x = 2,308,446.24
  5. Step 5: Solve for x
    x = 2,308,446.24/1,658.73
  6. Step 6: Final answer
    x = 1,391.69

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1.5x scale

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.