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Finding the Fourth Proportional to 565.43, 849.07 and 381.51

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Solution

The fourth proportional to 565.43, 849.07 and 381.51 is: 572.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    565.43 : 849.07 = 381.51 : x
  2. Step 2: Convert to fraction form
    565.43/849.07 = 381.51/x
  3. Step 3: Cross multiply
    565.43x = 849.07 × 381.51
  4. Step 4: Simplify right side
    565.43x = 323,927.66
  5. Step 5: Solve for x
    x = 323,927.66/565.43
  6. Step 6: Final answer
    x = 572.89

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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.