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Finding the Fourth Proportional to 749.17, 1,122.53 and 441.30

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Solution

The fourth proportional to 749.17, 1,122.53 and 441.30 is: 661.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    749.17 : 1,122.53 = 441.30 : x
  2. Step 2: Convert to fraction form
    749.17/1,122.53 = 441.30/x
  3. Step 3: Cross multiply
    749.17x = 1,122.53 × 441.30
  4. Step 4: Simplify right side
    749.17x = 495,372.49
  5. Step 5: Solve for x
    x = 495,372.49/749.17
  6. Step 6: Final answer
    x = 661.23

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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.