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Finding the Fourth Proportional to 771.59, 1,151.96 and 634.91

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Solution

The fourth proportional to 771.59, 1,151.96 and 634.91 is: 947.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    771.59 : 1,151.96 = 634.91 : x
  2. Step 2: Convert to fraction form
    771.59/1,151.96 = 634.91/x
  3. Step 3: Cross multiply
    771.59x = 1,151.96 × 634.91
  4. Step 4: Simplify right side
    771.59x = 731,381.99
  5. Step 5: Solve for x
    x = 731,381.99/771.59
  6. Step 6: Final answer
    x = 947.89

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.