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Finding the Fourth Proportional to 824.72, 1,139.60 and 591.44

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Solution

The fourth proportional to 824.72, 1,139.60 and 591.44 is: 817.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    824.72 : 1,139.60 = 591.44 : x
  2. Step 2: Convert to fraction form
    824.72/1,139.60 = 591.44/x
  3. Step 3: Cross multiply
    824.72x = 1,139.60 × 591.44
  4. Step 4: Simplify right side
    824.72x = 674,005.02
  5. Step 5: Solve for x
    x = 674,005.02/824.72
  6. Step 6: Final answer
    x = 817.25

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.