Home / 1,262.24-1,742.91-820.89

Finding the Fourth Proportional to 1,262.24, 1,742.91 and 820.89

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Solution

The fourth proportional to 1,262.24, 1,742.91 and 820.89 is: 1,133.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,262.24 : 1,742.91 = 820.89 : x
  2. Step 2: Convert to fraction form
    1,262.24/1,742.91 = 820.89/x
  3. Step 3: Cross multiply
    1,262.24x = 1,742.91 × 820.89
  4. Step 4: Simplify right side
    1,262.24x = 1,430,737.39
  5. Step 5: Solve for x
    x = 1,430,737.39/1,262.24
  6. Step 6: Final answer
    x = 1,133.50

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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.