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Finding the Fourth Proportional to 741.76, 1,023.50 and 426.95

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Solution

The fourth proportional to 741.76, 1,023.50 and 426.95 is: 589.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    741.76 : 1,023.50 = 426.95 : x
  2. Step 2: Convert to fraction form
    741.76/1,023.50 = 426.95/x
  3. Step 3: Cross multiply
    741.76x = 1,023.50 × 426.95
  4. Step 4: Simplify right side
    741.76x = 436,983.33
  5. Step 5: Solve for x
    x = 436,983.33/741.76
  6. Step 6: Final answer
    x = 589.12

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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.