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Finding the Fourth Proportional to 1,116.95, 1,675.50 and 295.21

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Solution

The fourth proportional to 1,116.95, 1,675.50 and 295.21 is: 442.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,116.95 : 1,675.50 = 295.21 : x
  2. Step 2: Convert to fraction form
    1,116.95/1,675.50 = 295.21/x
  3. Step 3: Cross multiply
    1,116.95x = 1,675.50 × 295.21
  4. Step 4: Simplify right side
    1,116.95x = 494,620.56
  5. Step 5: Solve for x
    x = 494,620.56/1,116.95
  6. Step 6: Final answer
    x = 442.83

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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.