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Finding the Fourth Proportional to 741.28, 1,022.66 and 461.42

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Solution

The fourth proportional to 741.28, 1,022.66 and 461.42 is: 636.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    741.28 : 1,022.66 = 461.42 : x
  2. Step 2: Convert to fraction form
    741.28/1,022.66 = 461.42/x
  3. Step 3: Cross multiply
    741.28x = 1,022.66 × 461.42
  4. Step 4: Simplify right side
    741.28x = 471,875.78
  5. Step 5: Solve for x
    x = 471,875.78/741.28
  6. Step 6: Final answer
    x = 636.57

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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.