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Finding the Fourth Proportional to 772.17, 1,160.51 and 642.99

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Solution

The fourth proportional to 772.17, 1,160.51 and 642.99 is: 966.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    772.17 : 1,160.51 = 642.99 : x
  2. Step 2: Convert to fraction form
    772.17/1,160.51 = 642.99/x
  3. Step 3: Cross multiply
    772.17x = 1,160.51 × 642.99
  4. Step 4: Simplify right side
    772.17x = 746,193.11
  5. Step 5: Solve for x
    x = 746,193.11/772.17
  6. Step 6: Final answer
    x = 966.36

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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.