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Finding the Fourth Proportional to 838.76, 1,255.78 and 564.32

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Solution

The fourth proportional to 838.76, 1,255.78 and 564.32 is: 844.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    838.76 : 1,255.78 = 564.32 : x
  2. Step 2: Convert to fraction form
    838.76/1,255.78 = 564.32/x
  3. Step 3: Cross multiply
    838.76x = 1,255.78 × 564.32
  4. Step 4: Simplify right side
    838.76x = 708,661.77
  5. Step 5: Solve for x
    x = 708,661.77/838.76
  6. Step 6: Final answer
    x = 844.89

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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.