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Finding the Fourth Proportional to 877.74, 1,314.20 and 568.85

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Solution

The fourth proportional to 877.74, 1,314.20 and 568.85 is: 851.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    877.74 : 1,314.20 = 568.85 : x
  2. Step 2: Convert to fraction form
    877.74/1,314.20 = 568.85/x
  3. Step 3: Cross multiply
    877.74x = 1,314.20 × 568.85
  4. Step 4: Simplify right side
    877.74x = 747,573.25
  5. Step 5: Solve for x
    x = 747,573.25/877.74
  6. Step 6: Final answer
    x = 851.70

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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.