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Finding the Fourth Proportional to 582.52, 870.04 and 527.56

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Solution

The fourth proportional to 582.52, 870.04 and 527.56 is: 787.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    582.52 : 870.04 = 527.56 : x
  2. Step 2: Convert to fraction form
    582.52/870.04 = 527.56/x
  3. Step 3: Cross multiply
    582.52x = 870.04 × 527.56
  4. Step 4: Simplify right side
    582.52x = 458,998.30
  5. Step 5: Solve for x
    x = 458,998.30/582.52
  6. Step 6: Final answer
    x = 787.95

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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.