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Finding the Fourth Proportional to 761.64, 1,143.54 and 726.84

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Solution

The fourth proportional to 761.64, 1,143.54 and 726.84 is: 1,091.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    761.64 : 1,143.54 = 726.84 : x
  2. Step 2: Convert to fraction form
    761.64/1,143.54 = 726.84/x
  3. Step 3: Cross multiply
    761.64x = 1,143.54 × 726.84
  4. Step 4: Simplify right side
    761.64x = 831,170.61
  5. Step 5: Solve for x
    x = 831,170.61/761.64
  6. Step 6: Final answer
    x = 1,091.29

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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.