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Finding the Fourth Proportional to 972.78, 1,340.86 and 823.74

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Solution

The fourth proportional to 972.78, 1,340.86 and 823.74 is: 1,135.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    972.78 : 1,340.86 = 823.74 : x
  2. Step 2: Convert to fraction form
    972.78/1,340.86 = 823.74/x
  3. Step 3: Cross multiply
    972.78x = 1,340.86 × 823.74
  4. Step 4: Simplify right side
    972.78x = 1,104,520.02
  5. Step 5: Solve for x
    x = 1,104,520.02/972.78
  6. Step 6: Final answer
    x = 1,135.43

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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.