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Finding the Fourth Proportional to 546.01, 753.09 and 346.90

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Solution

The fourth proportional to 546.01, 753.09 and 346.90 is: 478.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    546.01 : 753.09 = 346.90 : x
  2. Step 2: Convert to fraction form
    546.01/753.09 = 346.90/x
  3. Step 3: Cross multiply
    546.01x = 753.09 × 346.90
  4. Step 4: Simplify right side
    546.01x = 261,246.92
  5. Step 5: Solve for x
    x = 261,246.92/546.01
  6. Step 6: Final answer
    x = 478.47

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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.