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Finding the Fourth Proportional to 945.15, 1,304.37 and 572.19

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Solution

The fourth proportional to 945.15, 1,304.37 and 572.19 is: 789.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    945.15 : 1,304.37 = 572.19 : x
  2. Step 2: Convert to fraction form
    945.15/1,304.37 = 572.19/x
  3. Step 3: Cross multiply
    945.15x = 1,304.37 × 572.19
  4. Step 4: Simplify right side
    945.15x = 746,347.47
  5. Step 5: Solve for x
    x = 746,347.47/945.15
  6. Step 6: Final answer
    x = 789.66

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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.