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Finding the Fourth Proportional to 411.13, 567.63 and 317.71

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Solution

The fourth proportional to 411.13, 567.63 and 317.71 is: 438.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    411.13 : 567.63 = 317.71 : x
  2. Step 2: Convert to fraction form
    411.13/567.63 = 317.71/x
  3. Step 3: Cross multiply
    411.13x = 567.63 × 317.71
  4. Step 4: Simplify right side
    411.13x = 180,341.73
  5. Step 5: Solve for x
    x = 180,341.73/411.13
  6. Step 6: Final answer
    x = 438.65

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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.