Home / 1,159.90-1,739.89-294.23

Finding the Fourth Proportional to 1,159.90, 1,739.89 and 294.23

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Solution

The fourth proportional to 1,159.90, 1,739.89 and 294.23 is: 441.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,159.90 : 1,739.89 = 294.23 : x
  2. Step 2: Convert to fraction form
    1,159.90/1,739.89 = 294.23/x
  3. Step 3: Cross multiply
    1,159.90x = 1,739.89 × 294.23
  4. Step 4: Simplify right side
    1,159.90x = 511,927.83
  5. Step 5: Solve for x
    x = 511,927.83/1,159.90
  6. Step 6: Final answer
    x = 441.36

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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.