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Finding the Fourth Proportional to 814.22, 1,123.70 and 455.37

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Solution

The fourth proportional to 814.22, 1,123.70 and 455.37 is: 628.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    814.22 : 1,123.70 = 455.37 : x
  2. Step 2: Convert to fraction form
    814.22/1,123.70 = 455.37/x
  3. Step 3: Cross multiply
    814.22x = 1,123.70 × 455.37
  4. Step 4: Simplify right side
    814.22x = 511,699.27
  5. Step 5: Solve for x
    x = 511,699.27/814.22
  6. Step 6: Final answer
    x = 628.45

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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.