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Finding the Fourth Proportional to 1,254.61, 1,881.29 and 734.78

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Solution

The fourth proportional to 1,254.61, 1,881.29 and 734.78 is: 1,101.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,254.61 : 1,881.29 = 734.78 : x
  2. Step 2: Convert to fraction form
    1,254.61/1,881.29 = 734.78/x
  3. Step 3: Cross multiply
    1,254.61x = 1,881.29 × 734.78
  4. Step 4: Simplify right side
    1,254.61x = 1,382,332.43
  5. Step 5: Solve for x
    x = 1,382,332.43/1,254.61
  6. Step 6: Final answer
    x = 1,101.80

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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.