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Finding the Fourth Proportional to 772.17, 1,064.67 and 631.95

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Solution

The fourth proportional to 772.17, 1,064.67 and 631.95 is: 871.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    772.17 : 1,064.67 = 631.95 : x
  2. Step 2: Convert to fraction form
    772.17/1,064.67 = 631.95/x
  3. Step 3: Cross multiply
    772.17x = 1,064.67 × 631.95
  4. Step 4: Simplify right side
    772.17x = 672,818.21
  5. Step 5: Solve for x
    x = 672,818.21/772.17
  6. Step 6: Final answer
    x = 871.33

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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.