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Finding the Fourth Proportional to 741.92, 1,024.34 and 480.11

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Solution

The fourth proportional to 741.92, 1,024.34 and 480.11 is: 662.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    741.92 : 1,024.34 = 480.11 : x
  2. Step 2: Convert to fraction form
    741.92/1,024.34 = 480.11/x
  3. Step 3: Cross multiply
    741.92x = 1,024.34 × 480.11
  4. Step 4: Simplify right side
    741.92x = 491,788.36
  5. Step 5: Solve for x
    x = 491,788.36/741.92
  6. Step 6: Final answer
    x = 662.86

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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.