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Finding the Fourth Proportional to 569.52, 854.40 and 406.80

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Solution

The fourth proportional to 569.52, 854.40 and 406.80 is: 610.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    569.52 : 854.40 = 406.80 : x
  2. Step 2: Convert to fraction form
    569.52/854.40 = 406.80/x
  3. Step 3: Cross multiply
    569.52x = 854.40 × 406.80
  4. Step 4: Simplify right side
    569.52x = 347,569.92
  5. Step 5: Solve for x
    x = 347,569.92/569.52
  6. Step 6: Final answer
    x = 610.29

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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.