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Finding the Fourth Proportional to 722.32, 997.82 and 574.76

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Solution

The fourth proportional to 722.32, 997.82 and 574.76 is: 793.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    722.32 : 997.82 = 574.76 : x
  2. Step 2: Convert to fraction form
    722.32/997.82 = 574.76/x
  3. Step 3: Cross multiply
    722.32x = 997.82 × 574.76
  4. Step 4: Simplify right side
    722.32x = 573,508.80
  5. Step 5: Solve for x
    x = 573,508.80/722.32
  6. Step 6: Final answer
    x = 793.98

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Half scale
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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.