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Finding the Fourth Proportional to 1,074.94, 1,612 and 900.79

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Solution

The fourth proportional to 1,074.94, 1,612 and 900.79 is: 1,350.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,074.94 : 1,612 = 900.79 : x
  2. Step 2: Convert to fraction form
    1,074.94/1,612 = 900.79/x
  3. Step 3: Cross multiply
    1,074.94x = 1,612 × 900.79
  4. Step 4: Simplify right side
    1,074.94x = 1,452,073.48
  5. Step 5: Solve for x
    x = 1,452,073.48/1,074.94
  6. Step 6: Final answer
    x = 1,350.84

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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.