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Finding the Fourth Proportional to 564.78, 846.84 and 256.92

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Solution

The fourth proportional to 564.78, 846.84 and 256.92 is: 385.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    564.78 : 846.84 = 256.92 : x
  2. Step 2: Convert to fraction form
    564.78/846.84 = 256.92/x
  3. Step 3: Cross multiply
    564.78x = 846.84 × 256.92
  4. Step 4: Simplify right side
    564.78x = 217,570.13
  5. Step 5: Solve for x
    x = 217,570.13/564.78
  6. Step 6: Final answer
    x = 385.23

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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.