Home / 1,029.13-1,420.26-587.17

Finding the Fourth Proportional to 1,029.13, 1,420.26 and 587.17

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Solution

The fourth proportional to 1,029.13, 1,420.26 and 587.17 is: 810.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,029.13 : 1,420.26 = 587.17 : x
  2. Step 2: Convert to fraction form
    1,029.13/1,420.26 = 587.17/x
  3. Step 3: Cross multiply
    1,029.13x = 1,420.26 × 587.17
  4. Step 4: Simplify right side
    1,029.13x = 833,933.64
  5. Step 5: Solve for x
    x = 833,933.64/1,029.13
  6. Step 6: Final answer
    x = 810.33

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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.