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Finding the Fourth Proportional to 945.74, 1,304.30 and 613.85

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Solution

The fourth proportional to 945.74, 1,304.30 and 613.85 is: 846.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    945.74 : 1,304.30 = 613.85 : x
  2. Step 2: Convert to fraction form
    945.74/1,304.30 = 613.85/x
  3. Step 3: Cross multiply
    945.74x = 1,304.30 × 613.85
  4. Step 4: Simplify right side
    945.74x = 800,639.57
  5. Step 5: Solve for x
    x = 800,639.57/945.74
  6. Step 6: Final answer
    x = 846.57

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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.