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Finding the Fourth Proportional to 679.13, 1,012.02 and 657.11

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Solution

The fourth proportional to 679.13, 1,012.02 and 657.11 is: 979.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    679.13 : 1,012.02 = 657.11 : x
  2. Step 2: Convert to fraction form
    679.13/1,012.02 = 657.11/x
  3. Step 3: Cross multiply
    679.13x = 1,012.02 × 657.11
  4. Step 4: Simplify right side
    679.13x = 665,008.46
  5. Step 5: Solve for x
    x = 665,008.46/679.13
  6. Step 6: Final answer
    x = 979.21

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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.