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Finding the Fourth Proportional to 701.30, 1,049.61 and 527.55

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Solution

The fourth proportional to 701.30, 1,049.61 and 527.55 is: 789.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    701.30 : 1,049.61 = 527.55 : x
  2. Step 2: Convert to fraction form
    701.30/1,049.61 = 527.55/x
  3. Step 3: Cross multiply
    701.30x = 1,049.61 × 527.55
  4. Step 4: Simplify right side
    701.30x = 553,716.51
  5. Step 5: Solve for x
    x = 553,716.51/701.30
  6. Step 6: Final answer
    x = 789.56

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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.