Home / 1,029.21-1,419.73-609.42

Finding the Fourth Proportional to 1,029.21, 1,419.73 and 609.42

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Solution

The fourth proportional to 1,029.21, 1,419.73 and 609.42 is: 840.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,029.21 : 1,419.73 = 609.42 : x
  2. Step 2: Convert to fraction form
    1,029.21/1,419.73 = 609.42/x
  3. Step 3: Cross multiply
    1,029.21x = 1,419.73 × 609.42
  4. Step 4: Simplify right side
    1,029.21x = 865,215.66
  5. Step 5: Solve for x
    x = 865,215.66/1,029.21
  6. Step 6: Final answer
    x = 840.66

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.