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Finding the Fourth Proportional to 568.50, 857.09 and 538.71

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Solution

The fourth proportional to 568.50, 857.09 and 538.71 is: 812.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    568.50 : 857.09 = 538.71 : x
  2. Step 2: Convert to fraction form
    568.50/857.09 = 538.71/x
  3. Step 3: Cross multiply
    568.50x = 857.09 × 538.71
  4. Step 4: Simplify right side
    568.50x = 461,720.26
  5. Step 5: Solve for x
    x = 461,720.26/568.50
  6. Step 6: Final answer
    x = 812.17

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.