Home / 1,029.58-1,420.77-587.59

Finding the Fourth Proportional to 1,029.58, 1,420.77 and 587.59

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Solution

The fourth proportional to 1,029.58, 1,420.77 and 587.59 is: 810.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,029.58 : 1,420.77 = 587.59 : x
  2. Step 2: Convert to fraction form
    1,029.58/1,420.77 = 587.59/x
  3. Step 3: Cross multiply
    1,029.58x = 1,420.77 × 587.59
  4. Step 4: Simplify right side
    1,029.58x = 834,830.24
  5. Step 5: Solve for x
    x = 834,830.24/1,029.58
  6. Step 6: Final answer
    x = 810.85

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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.