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Finding the Fourth Proportional to 857.34, 1,187.88 and 838.89

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Solution

The fourth proportional to 857.34, 1,187.88 and 838.89 is: 1,162.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    857.34 : 1,187.88 = 838.89 : x
  2. Step 2: Convert to fraction form
    857.34/1,187.88 = 838.89/x
  3. Step 3: Cross multiply
    857.34x = 1,187.88 × 838.89
  4. Step 4: Simplify right side
    857.34x = 996,500.65
  5. Step 5: Solve for x
    x = 996,500.65/857.34
  6. Step 6: Final answer
    x = 1,162.32

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.