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Finding the Fourth Proportional to 564.48, 846.90 and 256.46

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Solution

The fourth proportional to 564.48, 846.90 and 256.46 is: 384.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    564.48 : 846.90 = 256.46 : x
  2. Step 2: Convert to fraction form
    564.48/846.90 = 256.46/x
  3. Step 3: Cross multiply
    564.48x = 846.90 × 256.46
  4. Step 4: Simplify right side
    564.48x = 217,195.97
  5. Step 5: Solve for x
    x = 217,195.97/564.48
  6. Step 6: Final answer
    x = 384.77

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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.