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Finding the Fourth Proportional to 741.44, 1,022.76 and 446.52

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Solution

The fourth proportional to 741.44, 1,022.76 and 446.52 is: 615.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    741.44 : 1,022.76 = 446.52 : x
  2. Step 2: Convert to fraction form
    741.44/1,022.76 = 446.52/x
  3. Step 3: Cross multiply
    741.44x = 1,022.76 × 446.52
  4. Step 4: Simplify right side
    741.44x = 456,682.80
  5. Step 5: Solve for x
    x = 456,682.80/741.44
  6. Step 6: Final answer
    x = 615.94

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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.