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Finding the Fourth Proportional to 564.55, 846.90 and 256.48

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Solution

The fourth proportional to 564.55, 846.90 and 256.48 is: 384.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    564.55 : 846.90 = 256.48 : x
  2. Step 2: Convert to fraction form
    564.55/846.90 = 256.48/x
  3. Step 3: Cross multiply
    564.55x = 846.90 × 256.48
  4. Step 4: Simplify right side
    564.55x = 217,210.79
  5. Step 5: Solve for x
    x = 217,210.79/564.55
  6. Step 6: Final answer
    x = 384.75

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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.