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Finding the Fourth Proportional to 585.11, 804.09 and 568.71

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Solution

The fourth proportional to 585.11, 804.09 and 568.71 is: 781.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    585.11 : 804.09 = 568.71 : x
  2. Step 2: Convert to fraction form
    585.11/804.09 = 568.71/x
  3. Step 3: Cross multiply
    585.11x = 804.09 × 568.71
  4. Step 4: Simplify right side
    585.11x = 457,294.02
  5. Step 5: Solve for x
    x = 457,294.02/585.11
  6. Step 6: Final answer
    x = 781.56

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.