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Finding the Fourth Proportional to 1,149.25, 1,585.51 and 729.63

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Solution

The fourth proportional to 1,149.25, 1,585.51 and 729.63 is: 1,006.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,149.25 : 1,585.51 = 729.63 : x
  2. Step 2: Convert to fraction form
    1,149.25/1,585.51 = 729.63/x
  3. Step 3: Cross multiply
    1,149.25x = 1,585.51 × 729.63
  4. Step 4: Simplify right side
    1,149.25x = 1,156,835.66
  5. Step 5: Solve for x
    x = 1,156,835.66/1,149.25
  6. Step 6: Final answer
    x = 1,006.60

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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.