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Finding the Fourth Proportional to 772.59, 1,153.45 and 635.91

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Solution

The fourth proportional to 772.59, 1,153.45 and 635.91 is: 949.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    772.59 : 1,153.45 = 635.91 : x
  2. Step 2: Convert to fraction form
    772.59/1,153.45 = 635.91/x
  3. Step 3: Cross multiply
    772.59x = 1,153.45 × 635.91
  4. Step 4: Simplify right side
    772.59x = 733,490.39
  5. Step 5: Solve for x
    x = 733,490.39/772.59
  6. Step 6: Final answer
    x = 949.39

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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.