Home / 1,159.20-1,739.31-638.57

Finding the Fourth Proportional to 1,159.20, 1,739.31 and 638.57

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Solution

The fourth proportional to 1,159.20, 1,739.31 and 638.57 is: 958.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,159.20 : 1,739.31 = 638.57 : x
  2. Step 2: Convert to fraction form
    1,159.20/1,739.31 = 638.57/x
  3. Step 3: Cross multiply
    1,159.20x = 1,739.31 × 638.57
  4. Step 4: Simplify right side
    1,159.20x = 1,110,673.14
  5. Step 5: Solve for x
    x = 1,110,673.14/1,159.20
  6. Step 6: Final answer
    x = 958.14

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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.