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Finding the Fourth Proportional to 712.46, 982.32 and 515.90

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Solution

The fourth proportional to 712.46, 982.32 and 515.90 is: 711.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    712.46 : 982.32 = 515.90 : x
  2. Step 2: Convert to fraction form
    712.46/982.32 = 515.90/x
  3. Step 3: Cross multiply
    712.46x = 982.32 × 515.90
  4. Step 4: Simplify right side
    712.46x = 506,778.89
  5. Step 5: Solve for x
    x = 506,778.89/712.46
  6. Step 6: Final answer
    x = 711.31

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.