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Finding the Fourth Proportional to 413.40, 571.91 and 339.57

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Solution

The fourth proportional to 413.40, 571.91 and 339.57 is: 469.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    413.40 : 571.91 = 339.57 : x
  2. Step 2: Convert to fraction form
    413.40/571.91 = 339.57/x
  3. Step 3: Cross multiply
    413.40x = 571.91 × 339.57
  4. Step 4: Simplify right side
    413.40x = 194,201.78
  5. Step 5: Solve for x
    x = 194,201.78/413.40
  6. Step 6: Final answer
    x = 469.77

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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.