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Finding the Fourth Proportional to 1,074.34, 1,610.42 and 611.16

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Solution

The fourth proportional to 1,074.34, 1,610.42 and 611.16 is: 916.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,074.34 : 1,610.42 = 611.16 : x
  2. Step 2: Convert to fraction form
    1,074.34/1,610.42 = 611.16/x
  3. Step 3: Cross multiply
    1,074.34x = 1,610.42 × 611.16
  4. Step 4: Simplify right side
    1,074.34x = 984,224.29
  5. Step 5: Solve for x
    x = 984,224.29/1,074.34
  6. Step 6: Final answer
    x = 916.12

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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.