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Finding the Fourth Proportional to 681.76, 1,017.37 and 584.20

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Solution

The fourth proportional to 681.76, 1,017.37 and 584.20 is: 871.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    681.76 : 1,017.37 = 584.20 : x
  2. Step 2: Convert to fraction form
    681.76/1,017.37 = 584.20/x
  3. Step 3: Cross multiply
    681.76x = 1,017.37 × 584.20
  4. Step 4: Simplify right side
    681.76x = 594,344.63
  5. Step 5: Solve for x
    x = 594,344.63/681.76
  6. Step 6: Final answer
    x = 871.78

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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.