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Finding the Fourth Proportional to 1,113.73, 1,669.98 and 884.09

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Solution

The fourth proportional to 1,113.73, 1,669.98 and 884.09 is: 1,325.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,113.73 : 1,669.98 = 884.09 : x
  2. Step 2: Convert to fraction form
    1,113.73/1,669.98 = 884.09/x
  3. Step 3: Cross multiply
    1,113.73x = 1,669.98 × 884.09
  4. Step 4: Simplify right side
    1,113.73x = 1,476,412.62
  5. Step 5: Solve for x
    x = 1,476,412.62/1,113.73
  6. Step 6: Final answer
    x = 1,325.65

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1.5x scale

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.