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Finding the Fourth Proportional to 847.93, 1,262.38 and 843.88

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Solution

The fourth proportional to 847.93, 1,262.38 and 843.88 is: 1,256.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    847.93 : 1,262.38 = 843.88 : x
  2. Step 2: Convert to fraction form
    847.93/1,262.38 = 843.88/x
  3. Step 3: Cross multiply
    847.93x = 1,262.38 × 843.88
  4. Step 4: Simplify right side
    847.93x = 1,065,297.23
  5. Step 5: Solve for x
    x = 1,065,297.23/847.93
  6. Step 6: Final answer
    x = 1,256.35

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.