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Finding the Fourth Proportional to 591.05, 884.78 and 461.45

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Solution

The fourth proportional to 591.05, 884.78 and 461.45 is: 690.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    591.05 : 884.78 = 461.45 : x
  2. Step 2: Convert to fraction form
    591.05/884.78 = 461.45/x
  3. Step 3: Cross multiply
    591.05x = 884.78 × 461.45
  4. Step 4: Simplify right side
    591.05x = 408,279.42
  5. Step 5: Solve for x
    x = 408,279.42/591.05
  6. Step 6: Final answer
    x = 690.77

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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.