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Finding the Fourth Proportional to 1,224.20, 1,689.58 and 805.76

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Solution

The fourth proportional to 1,224.20, 1,689.58 and 805.76 is: 1,112.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,224.20 : 1,689.58 = 805.76 : x
  2. Step 2: Convert to fraction form
    1,224.20/1,689.58 = 805.76/x
  3. Step 3: Cross multiply
    1,224.20x = 1,689.58 × 805.76
  4. Step 4: Simplify right side
    1,224.20x = 1,361,395.98
  5. Step 5: Solve for x
    x = 1,361,395.98/1,224.20
  6. Step 6: Final answer
    x = 1,112.07

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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.