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Finding the Fourth Proportional to 1,032.35, 1,545.91 and 684.61

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Solution

The fourth proportional to 1,032.35, 1,545.91 and 684.61 is: 1,025.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,032.35 : 1,545.91 = 684.61 : x
  2. Step 2: Convert to fraction form
    1,032.35/1,545.91 = 684.61/x
  3. Step 3: Cross multiply
    1,032.35x = 1,545.91 × 684.61
  4. Step 4: Simplify right side
    1,032.35x = 1,058,339.87
  5. Step 5: Solve for x
    x = 1,058,339.87/1,032.35
  6. Step 6: Final answer
    x = 1,025.18

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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.