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Finding the Fourth Proportional to 724.69, 1,000.11 and 414.19

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Solution

The fourth proportional to 724.69, 1,000.11 and 414.19 is: 571.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    724.69 : 1,000.11 = 414.19 : x
  2. Step 2: Convert to fraction form
    724.69/1,000.11 = 414.19/x
  3. Step 3: Cross multiply
    724.69x = 1,000.11 × 414.19
  4. Step 4: Simplify right side
    724.69x = 414,235.56
  5. Step 5: Solve for x
    x = 414,235.56/724.69
  6. Step 6: Final answer
    x = 571.60

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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.