Home / 1,029.45-1,420.59-587.33

Finding the Fourth Proportional to 1,029.45, 1,420.59 and 587.33

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Solution

The fourth proportional to 1,029.45, 1,420.59 and 587.33 is: 810.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,029.45 : 1,420.59 = 587.33 : x
  2. Step 2: Convert to fraction form
    1,029.45/1,420.59 = 587.33/x
  3. Step 3: Cross multiply
    1,029.45x = 1,420.59 × 587.33
  4. Step 4: Simplify right side
    1,029.45x = 834,348.02
  5. Step 5: Solve for x
    x = 834,348.02/1,029.45
  6. Step 6: Final answer
    x = 810.48

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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.