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Finding the Fourth Proportional to 945.39, 1,306.25 and 912.12

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Solution

The fourth proportional to 945.39, 1,306.25 and 912.12 is: 1,260.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    945.39 : 1,306.25 = 912.12 : x
  2. Step 2: Convert to fraction form
    945.39/1,306.25 = 912.12/x
  3. Step 3: Cross multiply
    945.39x = 1,306.25 × 912.12
  4. Step 4: Simplify right side
    945.39x = 1,191,456.75
  5. Step 5: Solve for x
    x = 1,191,456.75/945.39
  6. Step 6: Final answer
    x = 1,260.28

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Half scale
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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.