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Finding the Fourth Proportional to 411.95, 567.82 and 358.65

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Solution

The fourth proportional to 411.95, 567.82 and 358.65 is: 494.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    411.95 : 567.82 = 358.65 : x
  2. Step 2: Convert to fraction form
    411.95/567.82 = 358.65/x
  3. Step 3: Cross multiply
    411.95x = 567.82 × 358.65
  4. Step 4: Simplify right side
    411.95x = 203,648.64
  5. Step 5: Solve for x
    x = 203,648.64/411.95
  6. Step 6: Final answer
    x = 494.35

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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.