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Finding the Fourth Proportional to 691.34, 1,034.98 and 650.23

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Solution

The fourth proportional to 691.34, 1,034.98 and 650.23 is: 973.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    691.34 : 1,034.98 = 650.23 : x
  2. Step 2: Convert to fraction form
    691.34/1,034.98 = 650.23/x
  3. Step 3: Cross multiply
    691.34x = 1,034.98 × 650.23
  4. Step 4: Simplify right side
    691.34x = 672,970.83
  5. Step 5: Solve for x
    x = 672,970.83/691.34
  6. Step 6: Final answer
    x = 973.44

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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.