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Finding the Fourth Proportional to 1,172.98, 1,618.80 and 675.76

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Solution

The fourth proportional to 1,172.98, 1,618.80 and 675.76 is: 932.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,172.98 : 1,618.80 = 675.76 : x
  2. Step 2: Convert to fraction form
    1,172.98/1,618.80 = 675.76/x
  3. Step 3: Cross multiply
    1,172.98x = 1,618.80 × 675.76
  4. Step 4: Simplify right side
    1,172.98x = 1,093,920.29
  5. Step 5: Solve for x
    x = 1,093,920.29/1,172.98
  6. Step 6: Final answer
    x = 932.60

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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.