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Finding the Fourth Proportional to 741.69, 1,023.98 and 480.20

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Solution

The fourth proportional to 741.69, 1,023.98 and 480.20 is: 662.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    741.69 : 1,023.98 = 480.20 : x
  2. Step 2: Convert to fraction form
    741.69/1,023.98 = 480.20/x
  3. Step 3: Cross multiply
    741.69x = 1,023.98 × 480.20
  4. Step 4: Simplify right side
    741.69x = 491,707.68
  5. Step 5: Solve for x
    x = 491,707.68/741.69
  6. Step 6: Final answer
    x = 662.96

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Double scale
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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.