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Finding the Fourth Proportional to 559.52, 834.52 and 527.84

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Solution

The fourth proportional to 559.52, 834.52 and 527.84 is: 787.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    559.52 : 834.52 = 527.84 : x
  2. Step 2: Convert to fraction form
    559.52/834.52 = 527.84/x
  3. Step 3: Cross multiply
    559.52x = 834.52 × 527.84
  4. Step 4: Simplify right side
    559.52x = 440,493.04
  5. Step 5: Solve for x
    x = 440,493.04/559.52
  6. Step 6: Final answer
    x = 787.27

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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.