Home / 1,029.18-1,420.19-587.07

Finding the Fourth Proportional to 1,029.18, 1,420.19 and 587.07

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Solution

The fourth proportional to 1,029.18, 1,420.19 and 587.07 is: 810.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,029.18 : 1,420.19 = 587.07 : x
  2. Step 2: Convert to fraction form
    1,029.18/1,420.19 = 587.07/x
  3. Step 3: Cross multiply
    1,029.18x = 1,420.19 × 587.07
  4. Step 4: Simplify right side
    1,029.18x = 833,750.94
  5. Step 5: Solve for x
    x = 833,750.94/1,029.18
  6. Step 6: Final answer
    x = 810.11

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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.