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Finding the Fourth Proportional to 798.91, 1,102.50 and 449.59

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Solution

The fourth proportional to 798.91, 1,102.50 and 449.59 is: 620.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    798.91 : 1,102.50 = 449.59 : x
  2. Step 2: Convert to fraction form
    798.91/1,102.50 = 449.59/x
  3. Step 3: Cross multiply
    798.91x = 1,102.50 × 449.59
  4. Step 4: Simplify right side
    798.91x = 495,672.98
  5. Step 5: Solve for x
    x = 495,672.98/798.91
  6. Step 6: Final answer
    x = 620.44

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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.