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Finding the Fourth Proportional to 814.37, 1,123.40 and 519.12

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Solution

The fourth proportional to 814.37, 1,123.40 and 519.12 is: 716.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    814.37 : 1,123.40 = 519.12 : x
  2. Step 2: Convert to fraction form
    814.37/1,123.40 = 519.12/x
  3. Step 3: Cross multiply
    814.37x = 1,123.40 × 519.12
  4. Step 4: Simplify right side
    814.37x = 583,180.71
  5. Step 5: Solve for x
    x = 583,180.71/814.37
  6. Step 6: Final answer
    x = 716.12

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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.