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Finding the Fourth Proportional to 741.14, 1,022.57 and 446.40

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Solution

The fourth proportional to 741.14, 1,022.57 and 446.40 is: 615.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    741.14 : 1,022.57 = 446.40 : x
  2. Step 2: Convert to fraction form
    741.14/1,022.57 = 446.40/x
  3. Step 3: Cross multiply
    741.14x = 1,022.57 × 446.40
  4. Step 4: Simplify right side
    741.14x = 456,473.02
  5. Step 5: Solve for x
    x = 456,473.02/741.14
  6. Step 6: Final answer
    x = 615.91

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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.