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Finding the Fourth Proportional to 1,769.00, 2,441.29 and 972.41

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Solution

The fourth proportional to 1,769.00, 2,441.29 and 972.41 is: 1,341.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,769.00 : 2,441.29 = 972.41 : x
  2. Step 2: Convert to fraction form
    1,769.00/2,441.29 = 972.41/x
  3. Step 3: Cross multiply
    1,769.00x = 2,441.29 × 972.41
  4. Step 4: Simplify right side
    1,769.00x = 2,373,920.17
  5. Step 5: Solve for x
    x = 2,373,920.17/1,769.00
  6. Step 6: Final answer
    x = 1,341.95

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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.