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Finding the Fourth Proportional to 838.77, 1,256.87 and 563.84

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Solution

The fourth proportional to 838.77, 1,256.87 and 563.84 is: 844.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    838.77 : 1,256.87 = 563.84 : x
  2. Step 2: Convert to fraction form
    838.77/1,256.87 = 563.84/x
  3. Step 3: Cross multiply
    838.77x = 1,256.87 × 563.84
  4. Step 4: Simplify right side
    838.77x = 708,670.25
  5. Step 5: Solve for x
    x = 708,670.25/838.77
  6. Step 6: Final answer
    x = 844.90

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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.