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Finding the Fourth Proportional to 730.47, 1,087.95 and 726.94

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Solution

The fourth proportional to 730.47, 1,087.95 and 726.94 is: 1,082.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    730.47 : 1,087.95 = 726.94 : x
  2. Step 2: Convert to fraction form
    730.47/1,087.95 = 726.94/x
  3. Step 3: Cross multiply
    730.47x = 1,087.95 × 726.94
  4. Step 4: Simplify right side
    730.47x = 790,874.37
  5. Step 5: Solve for x
    x = 790,874.37/730.47
  6. Step 6: Final answer
    x = 1,082.69

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.