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Finding the Fourth Proportional to 542.76, 750.15 and 411.54

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Solution

The fourth proportional to 542.76, 750.15 and 411.54 is: 568.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    542.76 : 750.15 = 411.54 : x
  2. Step 2: Convert to fraction form
    542.76/750.15 = 411.54/x
  3. Step 3: Cross multiply
    542.76x = 750.15 × 411.54
  4. Step 4: Simplify right side
    542.76x = 308,716.73
  5. Step 5: Solve for x
    x = 308,716.73/542.76
  6. Step 6: Final answer
    x = 568.79

Related Problems

Find fourth proportional to 271.38, 375.08 and 205.77
Half scale
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Double scale
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Similar ratio
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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.