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Finding the Fourth Proportional to 945.50, 1,304.75 and 572.28

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Solution

The fourth proportional to 945.50, 1,304.75 and 572.28 is: 789.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    945.50 : 1,304.75 = 572.28 : x
  2. Step 2: Convert to fraction form
    945.50/1,304.75 = 572.28/x
  3. Step 3: Cross multiply
    945.50x = 1,304.75 × 572.28
  4. Step 4: Simplify right side
    945.50x = 746,679.47
  5. Step 5: Solve for x
    x = 746,679.47/945.50
  6. Step 6: Final answer
    x = 789.72

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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.