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Finding the Fourth Proportional to 741.75, 1,111.60 and 433.68

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Solution

The fourth proportional to 741.75, 1,111.60 and 433.68 is: 649.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    741.75 : 1,111.60 = 433.68 : x
  2. Step 2: Convert to fraction form
    741.75/1,111.60 = 433.68/x
  3. Step 3: Cross multiply
    741.75x = 1,111.60 × 433.68
  4. Step 4: Simplify right side
    741.75x = 482,078.69
  5. Step 5: Solve for x
    x = 482,078.69/741.75
  6. Step 6: Final answer
    x = 649.92

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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.