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Finding the Fourth Proportional to 564.98, 847.09 and 256.40

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Solution

The fourth proportional to 564.98, 847.09 and 256.40 is: 384.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    564.98 : 847.09 = 256.40 : x
  2. Step 2: Convert to fraction form
    564.98/847.09 = 256.40/x
  3. Step 3: Cross multiply
    564.98x = 847.09 × 256.40
  4. Step 4: Simplify right side
    564.98x = 217,193.14
  5. Step 5: Solve for x
    x = 217,193.14/564.98
  6. Step 6: Final answer
    x = 384.43

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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.