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Finding the Fourth Proportional to 1,159.82, 1,739.40 and 419.32

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Solution

The fourth proportional to 1,159.82, 1,739.40 and 419.32 is: 628.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,159.82 : 1,739.40 = 419.32 : x
  2. Step 2: Convert to fraction form
    1,159.82/1,739.40 = 419.32/x
  3. Step 3: Cross multiply
    1,159.82x = 1,739.40 × 419.32
  4. Step 4: Simplify right side
    1,159.82x = 729,365.21
  5. Step 5: Solve for x
    x = 729,365.21/1,159.82
  6. Step 6: Final answer
    x = 628.86

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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.