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Finding the Fourth Proportional to 531.77, 791.69 and 529.20

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Solution

The fourth proportional to 531.77, 791.69 and 529.20 is: 787.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    531.77 : 791.69 = 529.20 : x
  2. Step 2: Convert to fraction form
    531.77/791.69 = 529.20/x
  3. Step 3: Cross multiply
    531.77x = 791.69 × 529.20
  4. Step 4: Simplify right side
    531.77x = 418,959.70
  5. Step 5: Solve for x
    x = 418,959.70/531.77
  6. Step 6: Final answer
    x = 787.87

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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.