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Finding the Fourth Proportional to 1,194.18, 1,647.78 and 689.83

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Solution

The fourth proportional to 1,194.18, 1,647.78 and 689.83 is: 951.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,194.18 : 1,647.78 = 689.83 : x
  2. Step 2: Convert to fraction form
    1,194.18/1,647.78 = 689.83/x
  3. Step 3: Cross multiply
    1,194.18x = 1,647.78 × 689.83
  4. Step 4: Simplify right side
    1,194.18x = 1,136,688.08
  5. Step 5: Solve for x
    x = 1,136,688.08/1,194.18
  6. Step 6: Final answer
    x = 951.86

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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.