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Finding the Fourth Proportional to 945.82, 1,304.90 and 572.15

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Solution

The fourth proportional to 945.82, 1,304.90 and 572.15 is: 789.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    945.82 : 1,304.90 = 572.15 : x
  2. Step 2: Convert to fraction form
    945.82/1,304.90 = 572.15/x
  3. Step 3: Cross multiply
    945.82x = 1,304.90 × 572.15
  4. Step 4: Simplify right side
    945.82x = 746,593.44
  5. Step 5: Solve for x
    x = 746,593.44/945.82
  6. Step 6: Final answer
    x = 789.36

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Double 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.