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Finding the Fourth Proportional to 591.71, 883.31 and 469.80

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Solution

The fourth proportional to 591.71, 883.31 and 469.80 is: 701.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    591.71 : 883.31 = 469.80 : x
  2. Step 2: Convert to fraction form
    591.71/883.31 = 469.80/x
  3. Step 3: Cross multiply
    591.71x = 883.31 × 469.80
  4. Step 4: Simplify right side
    591.71x = 414,976.69
  5. Step 5: Solve for x
    x = 414,976.69/591.71
  6. Step 6: Final answer
    x = 701.32

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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.