Home / 1,029.26-1,420.36-587.15

Finding the Fourth Proportional to 1,029.26, 1,420.36 and 587.15

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Solution

The fourth proportional to 1,029.26, 1,420.36 and 587.15 is: 810.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,029.26 : 1,420.36 = 587.15 : x
  2. Step 2: Convert to fraction form
    1,029.26/1,420.36 = 587.15/x
  3. Step 3: Cross multiply
    1,029.26x = 1,420.36 × 587.15
  4. Step 4: Simplify right side
    1,029.26x = 833,955.80
  5. Step 5: Solve for x
    x = 833,955.80/1,029.26
  6. Step 6: Final answer
    x = 810.25

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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.