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Finding the Fourth Proportional to 715.31, 986.34 and 549.91

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Solution

The fourth proportional to 715.31, 986.34 and 549.91 is: 758.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    715.31 : 986.34 = 549.91 : x
  2. Step 2: Convert to fraction form
    715.31/986.34 = 549.91/x
  3. Step 3: Cross multiply
    715.31x = 986.34 × 549.91
  4. Step 4: Simplify right side
    715.31x = 542,401.52
  5. Step 5: Solve for x
    x = 542,401.52/715.31
  6. Step 6: Final answer
    x = 758.28

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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.