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Finding the Fourth Proportional to 569.48, 853.26 and 406.36

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Solution

The fourth proportional to 569.48, 853.26 and 406.36 is: 608.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    569.48 : 853.26 = 406.36 : x
  2. Step 2: Convert to fraction form
    569.48/853.26 = 406.36/x
  3. Step 3: Cross multiply
    569.48x = 853.26 × 406.36
  4. Step 4: Simplify right side
    569.48x = 346,730.73
  5. Step 5: Solve for x
    x = 346,730.73/569.48
  6. Step 6: Final answer
    x = 608.85

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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.