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Finding the Fourth Proportional to 549.98, 758.46 and 495.31

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Solution

The fourth proportional to 549.98, 758.46 and 495.31 is: 683.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    549.98 : 758.46 = 495.31 : x
  2. Step 2: Convert to fraction form
    549.98/758.46 = 495.31/x
  3. Step 3: Cross multiply
    549.98x = 758.46 × 495.31
  4. Step 4: Simplify right side
    549.98x = 375,672.82
  5. Step 5: Solve for x
    x = 375,672.82/549.98
  6. Step 6: Final answer
    x = 683.07

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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.