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Finding the Fourth Proportional to 566.86, 853.43 and 518.42

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Solution

The fourth proportional to 566.86, 853.43 and 518.42 is: 780.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    566.86 : 853.43 = 518.42 : x
  2. Step 2: Convert to fraction form
    566.86/853.43 = 518.42/x
  3. Step 3: Cross multiply
    566.86x = 853.43 × 518.42
  4. Step 4: Simplify right side
    566.86x = 442,434.72
  5. Step 5: Solve for x
    x = 442,434.72/566.86
  6. Step 6: Final answer
    x = 780.50

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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.