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Finding the Fourth Proportional to 686.67, 1,024.72 and 613.77

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Solution

The fourth proportional to 686.67, 1,024.72 and 613.77 is: 915.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    686.67 : 1,024.72 = 613.77 : x
  2. Step 2: Convert to fraction form
    686.67/1,024.72 = 613.77/x
  3. Step 3: Cross multiply
    686.67x = 1,024.72 × 613.77
  4. Step 4: Simplify right side
    686.67x = 628,942.39
  5. Step 5: Solve for x
    x = 628,942.39/686.67
  6. Step 6: Final answer
    x = 915.93

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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.