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Finding the Fourth Proportional to 564.80, 847.19 and 256.48

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Solution

The fourth proportional to 564.80, 847.19 and 256.48 is: 384.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    564.80 : 847.19 = 256.48 : x
  2. Step 2: Convert to fraction form
    564.80/847.19 = 256.48/x
  3. Step 3: Cross multiply
    564.80x = 847.19 × 256.48
  4. Step 4: Simplify right side
    564.80x = 217,285.81
  5. Step 5: Solve for x
    x = 217,285.81/564.80
  6. Step 6: Final answer
    x = 384.72

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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.