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Finding the Fourth Proportional to 546.31, 753.39 and 411.44

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Solution

The fourth proportional to 546.31, 753.39 and 411.44 is: 567.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    546.31 : 753.39 = 411.44 : x
  2. Step 2: Convert to fraction form
    546.31/753.39 = 411.44/x
  3. Step 3: Cross multiply
    546.31x = 753.39 × 411.44
  4. Step 4: Simplify right side
    546.31x = 309,974.78
  5. Step 5: Solve for x
    x = 309,974.78/546.31
  6. Step 6: Final answer
    x = 567.40

Related Problems

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Double scale
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1.5x scale

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.