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Finding the Fourth Proportional to 828.74, 1,240.76 and 437.85

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Solution

The fourth proportional to 828.74, 1,240.76 and 437.85 is: 655.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    828.74 : 1,240.76 = 437.85 : x
  2. Step 2: Convert to fraction form
    828.74/1,240.76 = 437.85/x
  3. Step 3: Cross multiply
    828.74x = 1,240.76 × 437.85
  4. Step 4: Simplify right side
    828.74x = 543,267.86
  5. Step 5: Solve for x
    x = 543,267.86/828.74
  6. Step 6: Final answer
    x = 655.54

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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.