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Finding the Fourth Proportional to 741.17, 1,022.91 and 446.60

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Solution

The fourth proportional to 741.17, 1,022.91 and 446.60 is: 616.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    741.17 : 1,022.91 = 446.60 : x
  2. Step 2: Convert to fraction form
    741.17/1,022.91 = 446.60/x
  3. Step 3: Cross multiply
    741.17x = 1,022.91 × 446.60
  4. Step 4: Simplify right side
    741.17x = 456,831.61
  5. Step 5: Solve for x
    x = 456,831.61/741.17
  6. Step 6: Final answer
    x = 616.37

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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.