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Finding the Fourth Proportional to 866.88, 1,298.07 and 729.63

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Solution

The fourth proportional to 866.88, 1,298.07 and 729.63 is: 1,092.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    866.88 : 1,298.07 = 729.63 : x
  2. Step 2: Convert to fraction form
    866.88/1,298.07 = 729.63/x
  3. Step 3: Cross multiply
    866.88x = 1,298.07 × 729.63
  4. Step 4: Simplify right side
    866.88x = 947,110.81
  5. Step 5: Solve for x
    x = 947,110.81/866.88
  6. Step 6: Final answer
    x = 1,092.55

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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.