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Finding the Fourth Proportional to 591.21, 885.80 and 461.16

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Solution

The fourth proportional to 591.21, 885.80 and 461.16 is: 690.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    591.21 : 885.80 = 461.16 : x
  2. Step 2: Convert to fraction form
    591.21/885.80 = 461.16/x
  3. Step 3: Cross multiply
    591.21x = 885.80 × 461.16
  4. Step 4: Simplify right side
    591.21x = 408,496.68
  5. Step 5: Solve for x
    x = 408,496.68/591.21
  6. Step 6: Final answer
    x = 690.95

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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.