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Finding the Fourth Proportional to 847.11, 1,162.78 and 751.77

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Solution

The fourth proportional to 847.11, 1,162.78 and 751.77 is: 1,031.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    847.11 : 1,162.78 = 751.77 : x
  2. Step 2: Convert to fraction form
    847.11/1,162.78 = 751.77/x
  3. Step 3: Cross multiply
    847.11x = 1,162.78 × 751.77
  4. Step 4: Simplify right side
    847.11x = 874,143.12
  5. Step 5: Solve for x
    x = 874,143.12/847.11
  6. Step 6: Final answer
    x = 1,031.91

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.