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Finding the Fourth Proportional to 583.90, 874.31 and 514.71

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Solution

The fourth proportional to 583.90, 874.31 and 514.71 is: 770.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    583.90 : 874.31 = 514.71 : x
  2. Step 2: Convert to fraction form
    583.90/874.31 = 514.71/x
  3. Step 3: Cross multiply
    583.90x = 874.31 × 514.71
  4. Step 4: Simplify right side
    583.90x = 450,013.53
  5. Step 5: Solve for x
    x = 450,013.53/583.90
  6. Step 6: Final answer
    x = 770.71

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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.