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Finding the Fourth Proportional to 772.31, 1,152.89 and 717.63

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Solution

The fourth proportional to 772.31, 1,152.89 and 717.63 is: 1,071.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    772.31 : 1,152.89 = 717.63 : x
  2. Step 2: Convert to fraction form
    772.31/1,152.89 = 717.63/x
  3. Step 3: Cross multiply
    772.31x = 1,152.89 × 717.63
  4. Step 4: Simplify right side
    772.31x = 827,350.24
  5. Step 5: Solve for x
    x = 827,350.24/772.31
  6. Step 6: Final answer
    x = 1,071.27

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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.