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Finding the Fourth Proportional to 828.18, 1,240.41 and 593.48

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Solution

The fourth proportional to 828.18, 1,240.41 and 593.48 is: 888.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    828.18 : 1,240.41 = 593.48 : x
  2. Step 2: Convert to fraction form
    828.18/1,240.41 = 593.48/x
  3. Step 3: Cross multiply
    828.18x = 1,240.41 × 593.48
  4. Step 4: Simplify right side
    828.18x = 736,158.53
  5. Step 5: Solve for x
    x = 736,158.53/828.18
  6. Step 6: Final answer
    x = 888.89

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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.