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Finding the Fourth Proportional to 546.13, 817.39 and 340.85

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Solution

The fourth proportional to 546.13, 817.39 and 340.85 is: 510.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    546.13 : 817.39 = 340.85 : x
  2. Step 2: Convert to fraction form
    546.13/817.39 = 340.85/x
  3. Step 3: Cross multiply
    546.13x = 817.39 × 340.85
  4. Step 4: Simplify right side
    546.13x = 278,607.38
  5. Step 5: Solve for x
    x = 278,607.38/546.13
  6. Step 6: Final answer
    x = 510.15

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.