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Finding the Fourth Proportional to 749.52, 1,126.41 and 441.42

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Solution

The fourth proportional to 749.52, 1,126.41 and 441.42 is: 663.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    749.52 : 1,126.41 = 441.42 : x
  2. Step 2: Convert to fraction form
    749.52/1,126.41 = 441.42/x
  3. Step 3: Cross multiply
    749.52x = 1,126.41 × 441.42
  4. Step 4: Simplify right side
    749.52x = 497,214.02
  5. Step 5: Solve for x
    x = 497,214.02/749.52
  6. Step 6: Final answer
    x = 663.38

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.