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Finding the Fourth Proportional to 814.42, 1,123.77 and 460.30

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Solution

The fourth proportional to 814.42, 1,123.77 and 460.30 is: 635.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    814.42 : 1,123.77 = 460.30 : x
  2. Step 2: Convert to fraction form
    814.42/1,123.77 = 460.30/x
  3. Step 3: Cross multiply
    814.42x = 1,123.77 × 460.30
  4. Step 4: Simplify right side
    814.42x = 517,272.35
  5. Step 5: Solve for x
    x = 517,272.35/814.42
  6. Step 6: Final answer
    x = 635.14

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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.