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Finding the Fourth Proportional to 569.48, 854.42 and 261.48

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Solution

The fourth proportional to 569.48, 854.42 and 261.48 is: 392.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    569.48 : 854.42 = 261.48 : x
  2. Step 2: Convert to fraction form
    569.48/854.42 = 261.48/x
  3. Step 3: Cross multiply
    569.48x = 854.42 × 261.48
  4. Step 4: Simplify right side
    569.48x = 223,413.74
  5. Step 5: Solve for x
    x = 223,413.74/569.48
  6. Step 6: Final answer
    x = 392.31

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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.