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Finding the Fourth Proportional to 743.27, 1,025.66 and 411.69

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Solution

The fourth proportional to 743.27, 1,025.66 and 411.69 is: 568.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    743.27 : 1,025.66 = 411.69 : x
  2. Step 2: Convert to fraction form
    743.27/1,025.66 = 411.69/x
  3. Step 3: Cross multiply
    743.27x = 1,025.66 × 411.69
  4. Step 4: Simplify right side
    743.27x = 422,253.97
  5. Step 5: Solve for x
    x = 422,253.97/743.27
  6. Step 6: Final answer
    x = 568.10

Related Problems

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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.