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Finding the Fourth Proportional to 1,679.55, 2,517.76 and 583.14

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Solution

The fourth proportional to 1,679.55, 2,517.76 and 583.14 is: 874.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,679.55 : 2,517.76 = 583.14 : x
  2. Step 2: Convert to fraction form
    1,679.55/2,517.76 = 583.14/x
  3. Step 3: Cross multiply
    1,679.55x = 2,517.76 × 583.14
  4. Step 4: Simplify right side
    1,679.55x = 1,468,205.11
  5. Step 5: Solve for x
    x = 1,468,205.11/1,679.55
  6. Step 6: Final answer
    x = 874.17

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.