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Finding the Fourth Proportional to 879.35, 1,317.81 and 853.07

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Solution

The fourth proportional to 879.35, 1,317.81 and 853.07 is: 1,278.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    879.35 : 1,317.81 = 853.07 : x
  2. Step 2: Convert to fraction form
    879.35/1,317.81 = 853.07/x
  3. Step 3: Cross multiply
    879.35x = 1,317.81 × 853.07
  4. Step 4: Simplify right side
    879.35x = 1,124,184.18
  5. Step 5: Solve for x
    x = 1,124,184.18/879.35
  6. Step 6: Final answer
    x = 1,278.43

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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.