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Finding the Fourth Proportional to 1,050.90, 1,447.98 and 801.78

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Solution

The fourth proportional to 1,050.90, 1,447.98 and 801.78 is: 1,104.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,050.90 : 1,447.98 = 801.78 : x
  2. Step 2: Convert to fraction form
    1,050.90/1,447.98 = 801.78/x
  3. Step 3: Cross multiply
    1,050.90x = 1,447.98 × 801.78
  4. Step 4: Simplify right side
    1,050.90x = 1,160,961.40
  5. Step 5: Solve for x
    x = 1,160,961.40/1,050.90
  6. Step 6: Final answer
    x = 1,104.73

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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.