Home / 1,029.89-1,421.28-587.79

Finding the Fourth Proportional to 1,029.89, 1,421.28 and 587.79

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Solution

The fourth proportional to 1,029.89, 1,421.28 and 587.79 is: 811.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,029.89 : 1,421.28 = 587.79 : x
  2. Step 2: Convert to fraction form
    1,029.89/1,421.28 = 587.79/x
  3. Step 3: Cross multiply
    1,029.89x = 1,421.28 × 587.79
  4. Step 4: Simplify right side
    1,029.89x = 835,414.17
  5. Step 5: Solve for x
    x = 835,414.17/1,029.89
  6. Step 6: Final answer
    x = 811.17

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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.