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Finding the Fourth Proportional to 1,610.22, 2,415.33 and 879.42

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Solution

The fourth proportional to 1,610.22, 2,415.33 and 879.42 is: 1,319.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,610.22 : 2,415.33 = 879.42 : x
  2. Step 2: Convert to fraction form
    1,610.22/2,415.33 = 879.42/x
  3. Step 3: Cross multiply
    1,610.22x = 2,415.33 × 879.42
  4. Step 4: Simplify right side
    1,610.22x = 2,124,089.51
  5. Step 5: Solve for x
    x = 2,124,089.51/1,610.22
  6. Step 6: Final answer
    x = 1,319.13

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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.