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Finding the Fourth Proportional to 568.51, 853.34 and 394.58

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Solution

The fourth proportional to 568.51, 853.34 and 394.58 is: 592.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    568.51 : 853.34 = 394.58 : x
  2. Step 2: Convert to fraction form
    568.51/853.34 = 394.58/x
  3. Step 3: Cross multiply
    568.51x = 853.34 × 394.58
  4. Step 4: Simplify right side
    568.51x = 336,710.90
  5. Step 5: Solve for x
    x = 336,710.90/568.51
  6. Step 6: Final answer
    x = 592.27

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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.