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Finding the Fourth Proportional to 1,111.60, 1,666.32 and 850.78

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Solution

The fourth proportional to 1,111.60, 1,666.32 and 850.78 is: 1,275.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,111.60 : 1,666.32 = 850.78 : x
  2. Step 2: Convert to fraction form
    1,111.60/1,666.32 = 850.78/x
  3. Step 3: Cross multiply
    1,111.60x = 1,666.32 × 850.78
  4. Step 4: Simplify right side
    1,111.60x = 1,417,671.73
  5. Step 5: Solve for x
    x = 1,417,671.73/1,111.60
  6. Step 6: Final answer
    x = 1,275.34

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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.