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Finding the Fourth Proportional to 1,067.19, 1,598.10 and 676.01

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Solution

The fourth proportional to 1,067.19, 1,598.10 and 676.01 is: 1,012.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,067.19 : 1,598.10 = 676.01 : x
  2. Step 2: Convert to fraction form
    1,067.19/1,598.10 = 676.01/x
  3. Step 3: Cross multiply
    1,067.19x = 1,598.10 × 676.01
  4. Step 4: Simplify right side
    1,067.19x = 1,080,331.58
  5. Step 5: Solve for x
    x = 1,080,331.58/1,067.19
  6. Step 6: Final answer
    x = 1,012.31

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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.