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Finding the Fourth Proportional to 814.40, 1,123.82 and 465.08

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Solution

The fourth proportional to 814.40, 1,123.82 and 465.08 is: 641.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    814.40 : 1,123.82 = 465.08 : x
  2. Step 2: Convert to fraction form
    814.40/1,123.82 = 465.08/x
  3. Step 3: Cross multiply
    814.40x = 1,123.82 × 465.08
  4. Step 4: Simplify right side
    814.40x = 522,666.21
  5. Step 5: Solve for x
    x = 522,666.21/814.40
  6. Step 6: Final answer
    x = 641.78

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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.