Home / 1,029.14-1,420.31-587.18

Finding the Fourth Proportional to 1,029.14, 1,420.31 and 587.18

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Solution

The fourth proportional to 1,029.14, 1,420.31 and 587.18 is: 810.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,029.14 : 1,420.31 = 587.18 : x
  2. Step 2: Convert to fraction form
    1,029.14/1,420.31 = 587.18/x
  3. Step 3: Cross multiply
    1,029.14x = 1,420.31 × 587.18
  4. Step 4: Simplify right side
    1,029.14x = 833,967.59
  5. Step 5: Solve for x
    x = 833,967.59/1,029.14
  6. Step 6: Final answer
    x = 810.36

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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.