Home / 1,459.20-2,013.75-869.79

Finding the Fourth Proportional to 1,459.20, 2,013.75 and 869.79

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Solution

The fourth proportional to 1,459.20, 2,013.75 and 869.79 is: 1,200.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,459.20 : 2,013.75 = 869.79 : x
  2. Step 2: Convert to fraction form
    1,459.20/2,013.75 = 869.79/x
  3. Step 3: Cross multiply
    1,459.20x = 2,013.75 × 869.79
  4. Step 4: Simplify right side
    1,459.20x = 1,751,539.61
  5. Step 5: Solve for x
    x = 1,751,539.61/1,459.20
  6. Step 6: Final answer
    x = 1,200.34

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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.