Home / 1,029.36-1,420.52-587.26

Finding the Fourth Proportional to 1,029.36, 1,420.52 and 587.26

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Solution

The fourth proportional to 1,029.36, 1,420.52 and 587.26 is: 810.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,029.36 : 1,420.52 = 587.26 : x
  2. Step 2: Convert to fraction form
    1,029.36/1,420.52 = 587.26/x
  3. Step 3: Cross multiply
    1,029.36x = 1,420.52 × 587.26
  4. Step 4: Simplify right side
    1,029.36x = 834,214.58
  5. Step 5: Solve for x
    x = 834,214.58/1,029.36
  6. Step 6: Final answer
    x = 810.42

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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.