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Finding the Fourth Proportional to 1,172.20, 1,616.88 and 706

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Solution

The fourth proportional to 1,172.20, 1,616.88 and 706 is: 973.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,172.20 : 1,616.88 = 706 : x
  2. Step 2: Convert to fraction form
    1,172.20/1,616.88 = 706/x
  3. Step 3: Cross multiply
    1,172.20x = 1,616.88 × 706
  4. Step 4: Simplify right side
    1,172.20x = 1,141,517.28
  5. Step 5: Solve for x
    x = 1,141,517.28/1,172.20
  6. Step 6: Final answer
    x = 973.82

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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.