Home / 1,159.24-1,599.78-635.26

Finding the Fourth Proportional to 1,159.24, 1,599.78 and 635.26

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Solution

The fourth proportional to 1,159.24, 1,599.78 and 635.26 is: 876.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,159.24 : 1,599.78 = 635.26 : x
  2. Step 2: Convert to fraction form
    1,159.24/1,599.78 = 635.26/x
  3. Step 3: Cross multiply
    1,159.24x = 1,599.78 × 635.26
  4. Step 4: Simplify right side
    1,159.24x = 1,016,276.24
  5. Step 5: Solve for x
    x = 1,016,276.24/1,159.24
  6. Step 6: Final answer
    x = 876.67

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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.