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Finding the Fourth Proportional to 741.76, 1,111.73 and 433.15

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Solution

The fourth proportional to 741.76, 1,111.73 and 433.15 is: 649.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    741.76 : 1,111.73 = 433.15 : x
  2. Step 2: Convert to fraction form
    741.76/1,111.73 = 433.15/x
  3. Step 3: Cross multiply
    741.76x = 1,111.73 × 433.15
  4. Step 4: Simplify right side
    741.76x = 481,540.90
  5. Step 5: Solve for x
    x = 481,540.90/741.76
  6. Step 6: Final answer
    x = 649.19

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Double scale
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1.5x scale

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.