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Finding the Fourth Proportional to 413.43, 570.62 and 400.42

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Solution

The fourth proportional to 413.43, 570.62 and 400.42 is: 552.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    413.43 : 570.62 = 400.42 : x
  2. Step 2: Convert to fraction form
    413.43/570.62 = 400.42/x
  3. Step 3: Cross multiply
    413.43x = 570.62 × 400.42
  4. Step 4: Simplify right side
    413.43x = 228,487.66
  5. Step 5: Solve for x
    x = 228,487.66/413.43
  6. Step 6: Final answer
    x = 552.66

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.