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Finding the Fourth Proportional to 569.27, 854.49 and 407.27

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Solution

The fourth proportional to 569.27, 854.49 and 407.27 is: 611.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    569.27 : 854.49 = 407.27 : x
  2. Step 2: Convert to fraction form
    569.27/854.49 = 407.27/x
  3. Step 3: Cross multiply
    569.27x = 854.49 × 407.27
  4. Step 4: Simplify right side
    569.27x = 348,008.14
  5. Step 5: Solve for x
    x = 348,008.14/569.27
  6. Step 6: Final answer
    x = 611.32

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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.