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Finding the Fourth Proportional to 686.79, 1,034.90 and 567.72

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Solution

The fourth proportional to 686.79, 1,034.90 and 567.72 is: 855.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    686.79 : 1,034.90 = 567.72 : x
  2. Step 2: Convert to fraction form
    686.79/1,034.90 = 567.72/x
  3. Step 3: Cross multiply
    686.79x = 1,034.90 × 567.72
  4. Step 4: Simplify right side
    686.79x = 587,532.72
  5. Step 5: Solve for x
    x = 587,532.72/686.79
  6. Step 6: Final answer
    x = 855.48

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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.