Home / 1,029.18-1,420.26-636.14

Finding the Fourth Proportional to 1,029.18, 1,420.26 and 636.14

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Solution

The fourth proportional to 1,029.18, 1,420.26 and 636.14 is: 877.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,029.18 : 1,420.26 = 636.14 : x
  2. Step 2: Convert to fraction form
    1,029.18/1,420.26 = 636.14/x
  3. Step 3: Cross multiply
    1,029.18x = 1,420.26 × 636.14
  4. Step 4: Simplify right side
    1,029.18x = 903,484.20
  5. Step 5: Solve for x
    x = 903,484.20/1,029.18
  6. Step 6: Final answer
    x = 877.87

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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.