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Finding the Fourth Proportional to 524.75, 724.17 and 291.89

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Solution

The fourth proportional to 524.75, 724.17 and 291.89 is: 402.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    524.75 : 724.17 = 291.89 : x
  2. Step 2: Convert to fraction form
    524.75/724.17 = 291.89/x
  3. Step 3: Cross multiply
    524.75x = 724.17 × 291.89
  4. Step 4: Simplify right side
    524.75x = 211,377.98
  5. Step 5: Solve for x
    x = 211,377.98/524.75
  6. Step 6: Final answer
    x = 402.82

Related Problems

Find fourth proportional to 262.38, 362.09 and 145.95
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.