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Finding the Fourth Proportional to 413.35, 569.71 and 378.47

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Solution

The fourth proportional to 413.35, 569.71 and 378.47 is: 521.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    413.35 : 569.71 = 378.47 : x
  2. Step 2: Convert to fraction form
    413.35/569.71 = 378.47/x
  3. Step 3: Cross multiply
    413.35x = 569.71 × 378.47
  4. Step 4: Simplify right side
    413.35x = 215,618.14
  5. Step 5: Solve for x
    x = 215,618.14/413.35
  6. Step 6: Final answer
    x = 521.64

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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.