Home / 1,029.89-1,421.34-587.78

Finding the Fourth Proportional to 1,029.89, 1,421.34 and 587.78

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Solution

The fourth proportional to 1,029.89, 1,421.34 and 587.78 is: 811.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,029.89 : 1,421.34 = 587.78 : x
  2. Step 2: Convert to fraction form
    1,029.89/1,421.34 = 587.78/x
  3. Step 3: Cross multiply
    1,029.89x = 1,421.34 × 587.78
  4. Step 4: Simplify right side
    1,029.89x = 835,439.24
  5. Step 5: Solve for x
    x = 835,439.24/1,029.89
  6. Step 6: Final answer
    x = 811.19

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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.