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Finding the Fourth Proportional to 1,776.94, 2,452.17 and 990.98

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Solution

The fourth proportional to 1,776.94, 2,452.17 and 990.98 is: 1,367.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,776.94 : 2,452.17 = 990.98 : x
  2. Step 2: Convert to fraction form
    1,776.94/2,452.17 = 990.98/x
  3. Step 3: Cross multiply
    1,776.94x = 2,452.17 × 990.98
  4. Step 4: Simplify right side
    1,776.94x = 2,430,065.87
  5. Step 5: Solve for x
    x = 2,430,065.87/1,776.94
  6. Step 6: Final answer
    x = 1,367.56

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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.