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Finding the Fourth Proportional to 827.72, 1,142.25 and 449.62

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Solution

The fourth proportional to 827.72, 1,142.25 and 449.62 is: 620.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    827.72 : 1,142.25 = 449.62 : x
  2. Step 2: Convert to fraction form
    827.72/1,142.25 = 449.62/x
  3. Step 3: Cross multiply
    827.72x = 1,142.25 × 449.62
  4. Step 4: Simplify right side
    827.72x = 513,574.47
  5. Step 5: Solve for x
    x = 513,574.47/827.72
  6. Step 6: Final answer
    x = 620.47

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1.5x scale

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.