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Finding the Fourth Proportional to 1,097.79, 1,647.80 and 856.95

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Solution

The fourth proportional to 1,097.79, 1,647.80 and 856.95 is: 1,286.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,097.79 : 1,647.80 = 856.95 : x
  2. Step 2: Convert to fraction form
    1,097.79/1,647.80 = 856.95/x
  3. Step 3: Cross multiply
    1,097.79x = 1,647.80 × 856.95
  4. Step 4: Simplify right side
    1,097.79x = 1,412,077.93
  5. Step 5: Solve for x
    x = 1,412,077.93/1,097.79
  6. Step 6: Final answer
    x = 1,286.29

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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.