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Finding the Fourth Proportional to 413.29, 569.74 and 314.87

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Solution

The fourth proportional to 413.29, 569.74 and 314.87 is: 434.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    413.29 : 569.74 = 314.87 : x
  2. Step 2: Convert to fraction form
    413.29/569.74 = 314.87/x
  3. Step 3: Cross multiply
    413.29x = 569.74 × 314.87
  4. Step 4: Simplify right side
    413.29x = 179,394.03
  5. Step 5: Solve for x
    x = 179,394.03/413.29
  6. Step 6: Final answer
    x = 434.06

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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.