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Finding the Fourth Proportional to 631.91, 872.16 and 411.05

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Solution

The fourth proportional to 631.91, 872.16 and 411.05 is: 567.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    631.91 : 872.16 = 411.05 : x
  2. Step 2: Convert to fraction form
    631.91/872.16 = 411.05/x
  3. Step 3: Cross multiply
    631.91x = 872.16 × 411.05
  4. Step 4: Simplify right side
    631.91x = 358,501.37
  5. Step 5: Solve for x
    x = 358,501.37/631.91
  6. Step 6: Final answer
    x = 567.33

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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.