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Finding the Fourth Proportional to 814.07, 1,123.46 and 464.75

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Solution

The fourth proportional to 814.07, 1,123.46 and 464.75 is: 641.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    814.07 : 1,123.46 = 464.75 : x
  2. Step 2: Convert to fraction form
    814.07/1,123.46 = 464.75/x
  3. Step 3: Cross multiply
    814.07x = 1,123.46 × 464.75
  4. Step 4: Simplify right side
    814.07x = 522,128.04
  5. Step 5: Solve for x
    x = 522,128.04/814.07
  6. Step 6: Final answer
    x = 641.38

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Half scale
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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.