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Finding the Fourth Proportional to 413.73, 570.40 and 346.47

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Solution

The fourth proportional to 413.73, 570.40 and 346.47 is: 477.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    413.73 : 570.40 = 346.47 : x
  2. Step 2: Convert to fraction form
    413.73/570.40 = 346.47/x
  3. Step 3: Cross multiply
    413.73x = 570.40 × 346.47
  4. Step 4: Simplify right side
    413.73x = 197,626.49
  5. Step 5: Solve for x
    x = 197,626.49/413.73
  6. Step 6: Final answer
    x = 477.67

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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.