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Finding the Fourth Proportional to 814.75, 1,124.36 and 446.75

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Solution

The fourth proportional to 814.75, 1,124.36 and 446.75 is: 616.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    814.75 : 1,124.36 = 446.75 : x
  2. Step 2: Convert to fraction form
    814.75/1,124.36 = 446.75/x
  3. Step 3: Cross multiply
    814.75x = 1,124.36 × 446.75
  4. Step 4: Simplify right side
    814.75x = 502,305.60
  5. Step 5: Solve for x
    x = 502,305.60/814.75
  6. Step 6: Final answer
    x = 616.52

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Double scale
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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.