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Finding the Fourth Proportional to 411.81, 567.76 and 317.39

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Solution

The fourth proportional to 411.81, 567.76 and 317.39 is: 437.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    411.81 : 567.76 = 317.39 : x
  2. Step 2: Convert to fraction form
    411.81/567.76 = 317.39/x
  3. Step 3: Cross multiply
    411.81x = 567.76 × 317.39
  4. Step 4: Simplify right side
    411.81x = 180,201.97
  5. Step 5: Solve for x
    x = 180,201.97/411.81
  6. Step 6: Final answer
    x = 437.59

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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.