Home / 1,407.11-2,111.36-677.30

Finding the Fourth Proportional to 1,407.11, 2,111.36 and 677.30

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Solution

The fourth proportional to 1,407.11, 2,111.36 and 677.30 is: 1,016.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,407.11 : 2,111.36 = 677.30 : x
  2. Step 2: Convert to fraction form
    1,407.11/2,111.36 = 677.30/x
  3. Step 3: Cross multiply
    1,407.11x = 2,111.36 × 677.30
  4. Step 4: Simplify right side
    1,407.11x = 1,430,024.13
  5. Step 5: Solve for x
    x = 1,430,024.13/1,407.11
  6. Step 6: Final answer
    x = 1,016.28

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.