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Finding the Fourth Proportional to 701.58, 1,049.85 and 564.78

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Solution

The fourth proportional to 701.58, 1,049.85 and 564.78 is: 845.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    701.58 : 1,049.85 = 564.78 : x
  2. Step 2: Convert to fraction form
    701.58/1,049.85 = 564.78/x
  3. Step 3: Cross multiply
    701.58x = 1,049.85 × 564.78
  4. Step 4: Simplify right side
    701.58x = 592,934.28
  5. Step 5: Solve for x
    x = 592,934.28/701.58
  6. Step 6: Final answer
    x = 845.14

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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.