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Finding the Fourth Proportional to 722.27, 1,082.35 and 461.45

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Solution

The fourth proportional to 722.27, 1,082.35 and 461.45 is: 691.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    722.27 : 1,082.35 = 461.45 : x
  2. Step 2: Convert to fraction form
    722.27/1,082.35 = 461.45/x
  3. Step 3: Cross multiply
    722.27x = 1,082.35 × 461.45
  4. Step 4: Simplify right side
    722.27x = 499,450.41
  5. Step 5: Solve for x
    x = 499,450.41/722.27
  6. Step 6: Final answer
    x = 691.50

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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 (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.