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Finding the Fourth Proportional to 569.66, 854.08 and 406.98

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Solution

The fourth proportional to 569.66, 854.08 and 406.98 is: 610.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    569.66 : 854.08 = 406.98 : x
  2. Step 2: Convert to fraction form
    569.66/854.08 = 406.98/x
  3. Step 3: Cross multiply
    569.66x = 854.08 × 406.98
  4. Step 4: Simplify right side
    569.66x = 347,593.48
  5. Step 5: Solve for x
    x = 347,593.48/569.66
  6. Step 6: Final answer
    x = 610.18

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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.