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Finding the Fourth Proportional to 413.65, 571.34 and 320.70

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Solution

The fourth proportional to 413.65, 571.34 and 320.70 is: 442.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    413.65 : 571.34 = 320.70 : x
  2. Step 2: Convert to fraction form
    413.65/571.34 = 320.70/x
  3. Step 3: Cross multiply
    413.65x = 571.34 × 320.70
  4. Step 4: Simplify right side
    413.65x = 183,228.74
  5. Step 5: Solve for x
    x = 183,228.74/413.65
  6. Step 6: Final answer
    x = 442.96

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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.