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Finding the Fourth Proportional to 546.24, 819.60 and 400.13

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Solution

The fourth proportional to 546.24, 819.60 and 400.13 is: 600.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    546.24 : 819.60 = 400.13 : x
  2. Step 2: Convert to fraction form
    546.24/819.60 = 400.13/x
  3. Step 3: Cross multiply
    546.24x = 819.60 × 400.13
  4. Step 4: Simplify right side
    546.24x = 327,946.55
  5. Step 5: Solve for x
    x = 327,946.55/546.24
  6. Step 6: Final answer
    x = 600.37

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Similar ratio
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1.5x scale

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.