Home / 1,407.48-2,110.34-676.91

Finding the Fourth Proportional to 1,407.48, 2,110.34 and 676.91

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Solution

The fourth proportional to 1,407.48, 2,110.34 and 676.91 is: 1,014.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,407.48 : 2,110.34 = 676.91 : x
  2. Step 2: Convert to fraction form
    1,407.48/2,110.34 = 676.91/x
  3. Step 3: Cross multiply
    1,407.48x = 2,110.34 × 676.91
  4. Step 4: Simplify right side
    1,407.48x = 1,428,496.31
  5. Step 5: Solve for x
    x = 1,428,496.31/1,407.48
  6. Step 6: Final answer
    x = 1,014.93

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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.