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Finding the Fourth Proportional to 1,069.13, 1,474.66 and 835.85

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Solution

The fourth proportional to 1,069.13, 1,474.66 and 835.85 is: 1,152.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,069.13 : 1,474.66 = 835.85 : x
  2. Step 2: Convert to fraction form
    1,069.13/1,474.66 = 835.85/x
  3. Step 3: Cross multiply
    1,069.13x = 1,474.66 × 835.85
  4. Step 4: Simplify right side
    1,069.13x = 1,232,594.56
  5. Step 5: Solve for x
    x = 1,232,594.56/1,069.13
  6. Step 6: Final answer
    x = 1,152.89

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.