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Finding the Fourth Proportional to 565.81, 849.06 and 257.74

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Solution

The fourth proportional to 565.81, 849.06 and 257.74 is: 386.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    565.81 : 849.06 = 257.74 : x
  2. Step 2: Convert to fraction form
    565.81/849.06 = 257.74/x
  3. Step 3: Cross multiply
    565.81x = 849.06 × 257.74
  4. Step 4: Simplify right side
    565.81x = 218,836.72
  5. Step 5: Solve for x
    x = 218,836.72/565.81
  6. Step 6: Final answer
    x = 386.77

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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.