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Finding the Fourth Proportional to 413.62, 569.10 and 314.80

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Solution

The fourth proportional to 413.62, 569.10 and 314.80 is: 433.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    413.62 : 569.10 = 314.80 : x
  2. Step 2: Convert to fraction form
    413.62/569.10 = 314.80/x
  3. Step 3: Cross multiply
    413.62x = 569.10 × 314.80
  4. Step 4: Simplify right side
    413.62x = 179,152.68
  5. Step 5: Solve for x
    x = 179,152.68/413.62
  6. Step 6: Final answer
    x = 433.13

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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.