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Finding the Fourth Proportional to 945.46, 1,304.99 and 613.86

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Solution

The fourth proportional to 945.46, 1,304.99 and 613.86 is: 847.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    945.46 : 1,304.99 = 613.86 : x
  2. Step 2: Convert to fraction form
    945.46/1,304.99 = 613.86/x
  3. Step 3: Cross multiply
    945.46x = 1,304.99 × 613.86
  4. Step 4: Simplify right side
    945.46x = 801,081.11
  5. Step 5: Solve for x
    x = 801,081.11/945.46
  6. Step 6: Final answer
    x = 847.30

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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.