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Finding the Fourth Proportional to 761.46, 1,143.54 and 566.52

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Solution

The fourth proportional to 761.46, 1,143.54 and 566.52 is: 850.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    761.46 : 1,143.54 = 566.52 : x
  2. Step 2: Convert to fraction form
    761.46/1,143.54 = 566.52/x
  3. Step 3: Cross multiply
    761.46x = 1,143.54 × 566.52
  4. Step 4: Simplify right side
    761.46x = 647,838.28
  5. Step 5: Solve for x
    x = 647,838.28/761.46
  6. Step 6: Final answer
    x = 850.78

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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.