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Finding the Fourth Proportional to 1,150.84, 1,723.02 and 875.80

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Solution

The fourth proportional to 1,150.84, 1,723.02 and 875.80 is: 1,311.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,150.84 : 1,723.02 = 875.80 : x
  2. Step 2: Convert to fraction form
    1,150.84/1,723.02 = 875.80/x
  3. Step 3: Cross multiply
    1,150.84x = 1,723.02 × 875.80
  4. Step 4: Simplify right side
    1,150.84x = 1,509,020.92
  5. Step 5: Solve for x
    x = 1,509,020.92/1,150.84
  6. Step 6: Final answer
    x = 1,311.23

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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.