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Finding the Fourth Proportional to 1,098.61, 1,647.92 and 777.85

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Solution

The fourth proportional to 1,098.61, 1,647.92 and 777.85 is: 1,166.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,098.61 : 1,647.92 = 777.85 : x
  2. Step 2: Convert to fraction form
    1,098.61/1,647.92 = 777.85/x
  3. Step 3: Cross multiply
    1,098.61x = 1,647.92 × 777.85
  4. Step 4: Simplify right side
    1,098.61x = 1,281,832.40
  5. Step 5: Solve for x
    x = 1,281,832.40/1,098.61
  6. Step 6: Final answer
    x = 1,166.78

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.