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Finding the Fourth Proportional to 549.84, 758.08 and 392.66

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Solution

The fourth proportional to 549.84, 758.08 and 392.66 is: 541.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    549.84 : 758.08 = 392.66 : x
  2. Step 2: Convert to fraction form
    549.84/758.08 = 392.66/x
  3. Step 3: Cross multiply
    549.84x = 758.08 × 392.66
  4. Step 4: Simplify right side
    549.84x = 297,667.69
  5. Step 5: Solve for x
    x = 297,667.69/549.84
  6. Step 6: Final answer
    x = 541.37

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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.