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Finding the Fourth Proportional to 632.35, 872.15 and 411.38

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Solution

The fourth proportional to 632.35, 872.15 and 411.38 is: 567.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    632.35 : 872.15 = 411.38 : x
  2. Step 2: Convert to fraction form
    632.35/872.15 = 411.38/x
  3. Step 3: Cross multiply
    632.35x = 872.15 × 411.38
  4. Step 4: Simplify right side
    632.35x = 358,785.07
  5. Step 5: Solve for x
    x = 358,785.07/632.35
  6. Step 6: Final answer
    x = 567.38

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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.