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Finding the Fourth Proportional to 591.06, 881.31 and 580.14

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Solution

The fourth proportional to 591.06, 881.31 and 580.14 is: 865.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    591.06 : 881.31 = 580.14 : x
  2. Step 2: Convert to fraction form
    591.06/881.31 = 580.14/x
  3. Step 3: Cross multiply
    591.06x = 881.31 × 580.14
  4. Step 4: Simplify right side
    591.06x = 511,283.18
  5. Step 5: Solve for x
    x = 511,283.18/591.06
  6. Step 6: Final answer
    x = 865.03

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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.