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Finding the Fourth Proportional to 972.36, 1,340.96 and 641.12

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Solution

The fourth proportional to 972.36, 1,340.96 and 641.12 is: 884.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    972.36 : 1,340.96 = 641.12 : x
  2. Step 2: Convert to fraction form
    972.36/1,340.96 = 641.12/x
  3. Step 3: Cross multiply
    972.36x = 1,340.96 × 641.12
  4. Step 4: Simplify right side
    972.36x = 859,716.28
  5. Step 5: Solve for x
    x = 859,716.28/972.36
  6. Step 6: Final answer
    x = 884.15

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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.