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Finding the Fourth Proportional to 1,391.05, 2,087.16 and 610.65

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Solution

The fourth proportional to 1,391.05, 2,087.16 and 610.65 is: 916.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,391.05 : 2,087.16 = 610.65 : x
  2. Step 2: Convert to fraction form
    1,391.05/2,087.16 = 610.65/x
  3. Step 3: Cross multiply
    1,391.05x = 2,087.16 × 610.65
  4. Step 4: Simplify right side
    1,391.05x = 1,274,525.40
  5. Step 5: Solve for x
    x = 1,274,525.40/1,391.05
  6. Step 6: Final answer
    x = 916.23

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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.