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Finding the Fourth Proportional to 633.85, 872.70 and 559.10

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Solution

The fourth proportional to 633.85, 872.70 and 559.10 is: 769.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    633.85 : 872.70 = 559.10 : x
  2. Step 2: Convert to fraction form
    633.85/872.70 = 559.10/x
  3. Step 3: Cross multiply
    633.85x = 872.70 × 559.10
  4. Step 4: Simplify right side
    633.85x = 487,925.17
  5. Step 5: Solve for x
    x = 487,925.17/633.85
  6. Step 6: Final answer
    x = 769.78

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.