Home / 1,407.14-2,111.16-676.30

Finding the Fourth Proportional to 1,407.14, 2,111.16 and 676.30

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Solution

The fourth proportional to 1,407.14, 2,111.16 and 676.30 is: 1,014.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,407.14 : 2,111.16 = 676.30 : x
  2. Step 2: Convert to fraction form
    1,407.14/2,111.16 = 676.30/x
  3. Step 3: Cross multiply
    1,407.14x = 2,111.16 × 676.30
  4. Step 4: Simplify right side
    1,407.14x = 1,427,777.51
  5. Step 5: Solve for x
    x = 1,427,777.51/1,407.14
  6. Step 6: Final answer
    x = 1,014.67

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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.