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Finding the Fourth Proportional to 710.64, 1,063.78 and 527.58

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Solution

The fourth proportional to 710.64, 1,063.78 and 527.58 is: 789.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    710.64 : 1,063.78 = 527.58 : x
  2. Step 2: Convert to fraction form
    710.64/1,063.78 = 527.58/x
  3. Step 3: Cross multiply
    710.64x = 1,063.78 × 527.58
  4. Step 4: Simplify right side
    710.64x = 561,227.73
  5. Step 5: Solve for x
    x = 561,227.73/710.64
  6. Step 6: Final answer
    x = 789.75

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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.