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Finding the Fourth Proportional to 1,494.80, 2,239.77 and 879.06

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Solution

The fourth proportional to 1,494.80, 2,239.77 and 879.06 is: 1,317.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,494.80 : 2,239.77 = 879.06 : x
  2. Step 2: Convert to fraction form
    1,494.80/2,239.77 = 879.06/x
  3. Step 3: Cross multiply
    1,494.80x = 2,239.77 × 879.06
  4. Step 4: Simplify right side
    1,494.80x = 1,968,898.97
  5. Step 5: Solve for x
    x = 1,968,898.97/1,494.80
  6. Step 6: Final answer
    x = 1,317.17

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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.