Home / 1,159.52-1,739.34-419.29

Finding the Fourth Proportional to 1,159.52, 1,739.34 and 419.29

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Solution

The fourth proportional to 1,159.52, 1,739.34 and 419.29 is: 628.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,159.52 : 1,739.34 = 419.29 : x
  2. Step 2: Convert to fraction form
    1,159.52/1,739.34 = 419.29/x
  3. Step 3: Cross multiply
    1,159.52x = 1,739.34 × 419.29
  4. Step 4: Simplify right side
    1,159.52x = 729,283.52
  5. Step 5: Solve for x
    x = 729,283.52/1,159.52
  6. Step 6: Final answer
    x = 628.96

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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.