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Finding the Fourth Proportional to 679.66, 1,024.21 and 614.70

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Solution

The fourth proportional to 679.66, 1,024.21 and 614.70 is: 926.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    679.66 : 1,024.21 = 614.70 : x
  2. Step 2: Convert to fraction form
    679.66/1,024.21 = 614.70/x
  3. Step 3: Cross multiply
    679.66x = 1,024.21 × 614.70
  4. Step 4: Simplify right side
    679.66x = 629,581.89
  5. Step 5: Solve for x
    x = 629,581.89/679.66
  6. Step 6: Final answer
    x = 926.32

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.