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Finding the Fourth Proportional to 741.54, 1,023.28 and 426.75

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Solution

The fourth proportional to 741.54, 1,023.28 and 426.75 is: 588.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    741.54 : 1,023.28 = 426.75 : x
  2. Step 2: Convert to fraction form
    741.54/1,023.28 = 426.75/x
  3. Step 3: Cross multiply
    741.54x = 1,023.28 × 426.75
  4. Step 4: Simplify right side
    741.54x = 436,687.99
  5. Step 5: Solve for x
    x = 436,687.99/741.54
  6. Step 6: Final answer
    x = 588.89

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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.