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Finding the Fourth Proportional to 972.83, 1,340.15 and 723.71

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Solution

The fourth proportional to 972.83, 1,340.15 and 723.71 is: 996.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    972.83 : 1,340.15 = 723.71 : x
  2. Step 2: Convert to fraction form
    972.83/1,340.15 = 723.71/x
  3. Step 3: Cross multiply
    972.83x = 1,340.15 × 723.71
  4. Step 4: Simplify right side
    972.83x = 969,869.64
  5. Step 5: Solve for x
    x = 969,869.64/972.83
  6. Step 6: Final answer
    x = 996.96

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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.