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Finding the Fourth Proportional to 814.72, 1,123.24 and 674.32

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Solution

The fourth proportional to 814.72, 1,123.24 and 674.32 is: 929.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    814.72 : 1,123.24 = 674.32 : x
  2. Step 2: Convert to fraction form
    814.72/1,123.24 = 674.32/x
  3. Step 3: Cross multiply
    814.72x = 1,123.24 × 674.32
  4. Step 4: Simplify right side
    814.72x = 757,423.20
  5. Step 5: Solve for x
    x = 757,423.20/814.72
  6. Step 6: Final answer
    x = 929.67

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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.