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Finding the Fourth Proportional to 694.18, 1,034.65 and 655.26

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Solution

The fourth proportional to 694.18, 1,034.65 and 655.26 is: 976.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    694.18 : 1,034.65 = 655.26 : x
  2. Step 2: Convert to fraction form
    694.18/1,034.65 = 655.26/x
  3. Step 3: Cross multiply
    694.18x = 1,034.65 × 655.26
  4. Step 4: Simplify right side
    694.18x = 677,964.76
  5. Step 5: Solve for x
    x = 677,964.76/694.18
  6. Step 6: Final answer
    x = 976.64

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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.