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Finding the Fourth Proportional to 879.09, 1,210.86 and 704.13

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Solution

The fourth proportional to 879.09, 1,210.86 and 704.13 is: 969.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    879.09 : 1,210.86 = 704.13 : x
  2. Step 2: Convert to fraction form
    879.09/1,210.86 = 704.13/x
  3. Step 3: Cross multiply
    879.09x = 1,210.86 × 704.13
  4. Step 4: Simplify right side
    879.09x = 852,602.85
  5. Step 5: Solve for x
    x = 852,602.85/879.09
  6. Step 6: Final answer
    x = 969.87

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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.