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Finding the Fourth Proportional to 565.02, 847.80 and 256.97

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Solution

The fourth proportional to 565.02, 847.80 and 256.97 is: 385.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    565.02 : 847.80 = 256.97 : x
  2. Step 2: Convert to fraction form
    565.02/847.80 = 256.97/x
  3. Step 3: Cross multiply
    565.02x = 847.80 × 256.97
  4. Step 4: Simplify right side
    565.02x = 217,854.93
  5. Step 5: Solve for x
    x = 217,854.93/565.02
  6. Step 6: Final answer
    x = 385.57

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