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Finding the Fourth Proportional to 413.76, 571.71 and 340.02

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Solution

The fourth proportional to 413.76, 571.71 and 340.02 is: 469.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    413.76 : 571.71 = 340.02 : x
  2. Step 2: Convert to fraction form
    413.76/571.71 = 340.02/x
  3. Step 3: Cross multiply
    413.76x = 571.71 × 340.02
  4. Step 4: Simplify right side
    413.76x = 194,392.83
  5. Step 5: Solve for x
    x = 194,392.83/413.76
  6. Step 6: Final answer
    x = 469.82

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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.