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Finding the Fourth Proportional to 1,658.73, 2,488.13 and 1,305.17

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Solution

The fourth proportional to 1,658.73, 2,488.13 and 1,305.17 is: 1,957.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,658.73 : 2,488.13 = 1,305.17 : x
  2. Step 2: Convert to fraction form
    1,658.73/2,488.13 = 1,305.17/x
  3. Step 3: Cross multiply
    1,658.73x = 2,488.13 × 1,305.17
  4. Step 4: Simplify right side
    1,658.73x = 3,247,413.67
  5. Step 5: Solve for x
    x = 3,247,413.67/1,658.73
  6. Step 6: Final answer
    x = 1,957.77

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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.