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Finding the Fourth Proportional to 565.15, 847.11 and 256.57

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Solution

The fourth proportional to 565.15, 847.11 and 256.57 is: 384.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    565.15 : 847.11 = 256.57 : x
  2. Step 2: Convert to fraction form
    565.15/847.11 = 256.57/x
  3. Step 3: Cross multiply
    565.15x = 847.11 × 256.57
  4. Step 4: Simplify right side
    565.15x = 217,343.01
  5. Step 5: Solve for x
    x = 217,343.01/565.15
  6. Step 6: Final answer
    x = 384.58

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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.