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Finding the Fourth Proportional to 549.64, 758.34 and 375.16

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Solution

The fourth proportional to 549.64, 758.34 and 375.16 is: 517.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    549.64 : 758.34 = 375.16 : x
  2. Step 2: Convert to fraction form
    549.64/758.34 = 375.16/x
  3. Step 3: Cross multiply
    549.64x = 758.34 × 375.16
  4. Step 4: Simplify right side
    549.64x = 284,498.83
  5. Step 5: Solve for x
    x = 284,498.83/549.64
  6. Step 6: Final answer
    x = 517.61

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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.