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Finding the Fourth Proportional to 564.64, 846.42 and 256.66

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Solution

The fourth proportional to 564.64, 846.42 and 256.66 is: 384.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    564.64 : 846.42 = 256.66 : x
  2. Step 2: Convert to fraction form
    564.64/846.42 = 256.66/x
  3. Step 3: Cross multiply
    564.64x = 846.42 × 256.66
  4. Step 4: Simplify right side
    564.64x = 217,242.16
  5. Step 5: Solve for x
    x = 217,242.16/564.64
  6. Step 6: Final answer
    x = 384.74

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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.