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Finding the Fourth Proportional to 694.06, 1,034.47 and 655.14

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Solution

The fourth proportional to 694.06, 1,034.47 and 655.14 is: 976.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    694.06 : 1,034.47 = 655.14 : x
  2. Step 2: Convert to fraction form
    694.06/1,034.47 = 655.14/x
  3. Step 3: Cross multiply
    694.06x = 1,034.47 × 655.14
  4. Step 4: Simplify right side
    694.06x = 677,722.68
  5. Step 5: Solve for x
    x = 677,722.68/694.06
  6. Step 6: Final answer
    x = 976.46

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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.