Home / 1,094.14-1,639.38-864.52

Finding the Fourth Proportional to 1,094.14, 1,639.38 and 864.52

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Solution

The fourth proportional to 1,094.14, 1,639.38 and 864.52 is: 1,295.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,094.14 : 1,639.38 = 864.52 : x
  2. Step 2: Convert to fraction form
    1,094.14/1,639.38 = 864.52/x
  3. Step 3: Cross multiply
    1,094.14x = 1,639.38 × 864.52
  4. Step 4: Simplify right side
    1,094.14x = 1,417,276.80
  5. Step 5: Solve for x
    x = 1,417,276.80/1,094.14
  6. Step 6: Final answer
    x = 1,295.33

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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.