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Finding the Fourth Proportional to 413.43, 569.91 and 315.01

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Solution

The fourth proportional to 413.43, 569.91 and 315.01 is: 434.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    413.43 : 569.91 = 315.01 : x
  2. Step 2: Convert to fraction form
    413.43/569.91 = 315.01/x
  3. Step 3: Cross multiply
    413.43x = 569.91 × 315.01
  4. Step 4: Simplify right side
    413.43x = 179,527.35
  5. Step 5: Solve for x
    x = 179,527.35/413.43
  6. Step 6: Final answer
    x = 434.24

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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.