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Finding the Fourth Proportional to 1,253.79, 1,730.10 and 781.61

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Solution

The fourth proportional to 1,253.79, 1,730.10 and 781.61 is: 1,078.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,253.79 : 1,730.10 = 781.61 : x
  2. Step 2: Convert to fraction form
    1,253.79/1,730.10 = 781.61/x
  3. Step 3: Cross multiply
    1,253.79x = 1,730.10 × 781.61
  4. Step 4: Simplify right side
    1,253.79x = 1,352,263.46
  5. Step 5: Solve for x
    x = 1,352,263.46/1,253.79
  6. Step 6: Final answer
    x = 1,078.54

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.