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Finding the Fourth Proportional to 1,159.80, 1,739.25 and 419.19

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Solution

The fourth proportional to 1,159.80, 1,739.25 and 419.19 is: 628.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,159.80 : 1,739.25 = 419.19 : x
  2. Step 2: Convert to fraction form
    1,159.80/1,739.25 = 419.19/x
  3. Step 3: Cross multiply
    1,159.80x = 1,739.25 × 419.19
  4. Step 4: Simplify right side
    1,159.80x = 729,076.21
  5. Step 5: Solve for x
    x = 729,076.21/1,159.80
  6. Step 6: Final answer
    x = 628.62

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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.