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Finding the Fourth Proportional to 591.34, 886.80 and 408.82

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Solution

The fourth proportional to 591.34, 886.80 and 408.82 is: 613.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    591.34 : 886.80 = 408.82 : x
  2. Step 2: Convert to fraction form
    591.34/886.80 = 408.82/x
  3. Step 3: Cross multiply
    591.34x = 886.80 × 408.82
  4. Step 4: Simplify right side
    591.34x = 362,541.58
  5. Step 5: Solve for x
    x = 362,541.58/591.34
  6. Step 6: Final answer
    x = 613.08

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.