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Finding the Fourth Proportional to 945.33, 1,304.67 and 724.20

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Solution

The fourth proportional to 945.33, 1,304.67 and 724.20 is: 999.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    945.33 : 1,304.67 = 724.20 : x
  2. Step 2: Convert to fraction form
    945.33/1,304.67 = 724.20/x
  3. Step 3: Cross multiply
    945.33x = 1,304.67 × 724.20
  4. Step 4: Simplify right side
    945.33x = 944,842.01
  5. Step 5: Solve for x
    x = 944,842.01/945.33
  6. Step 6: Final answer
    x = 999.48

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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.