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Finding the Fourth Proportional to 546.31, 752.88 and 398.67

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Solution

The fourth proportional to 546.31, 752.88 and 398.67 is: 549.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    546.31 : 752.88 = 398.67 : x
  2. Step 2: Convert to fraction form
    546.31/752.88 = 398.67/x
  3. Step 3: Cross multiply
    546.31x = 752.88 × 398.67
  4. Step 4: Simplify right side
    546.31x = 300,150.67
  5. Step 5: Solve for x
    x = 300,150.67/546.31
  6. Step 6: Final answer
    x = 549.41

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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.