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Finding the Fourth Proportional to 761.39, 1,143.40 and 726.76

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Solution

The fourth proportional to 761.39, 1,143.40 and 726.76 is: 1,091.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    761.39 : 1,143.40 = 726.76 : x
  2. Step 2: Convert to fraction form
    761.39/1,143.40 = 726.76/x
  3. Step 3: Cross multiply
    761.39x = 1,143.40 × 726.76
  4. Step 4: Simplify right side
    761.39x = 830,977.38
  5. Step 5: Solve for x
    x = 830,977.38/761.39
  6. Step 6: Final answer
    x = 1,091.40

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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.