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Finding the Fourth Proportional to 780.33, 1,076.46 and 724.74

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Solution

The fourth proportional to 780.33, 1,076.46 and 724.74 is: 999.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    780.33 : 1,076.46 = 724.74 : x
  2. Step 2: Convert to fraction form
    780.33/1,076.46 = 724.74/x
  3. Step 3: Cross multiply
    780.33x = 1,076.46 × 724.74
  4. Step 4: Simplify right side
    780.33x = 780,153.62
  5. Step 5: Solve for x
    x = 780,153.62/780.33
  6. Step 6: Final answer
    x = 999.77

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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.