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Finding the Fourth Proportional to 591.20, 883.71 and 416.69

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Solution

The fourth proportional to 591.20, 883.71 and 416.69 is: 622.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    591.20 : 883.71 = 416.69 : x
  2. Step 2: Convert to fraction form
    591.20/883.71 = 416.69/x
  3. Step 3: Cross multiply
    591.20x = 883.71 × 416.69
  4. Step 4: Simplify right side
    591.20x = 368,236.99
  5. Step 5: Solve for x
    x = 368,236.99/591.20
  6. Step 6: Final answer
    x = 622.86

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.