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Finding the Fourth Proportional to 413.20, 570.48 and 380.32

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Solution

The fourth proportional to 413.20, 570.48 and 380.32 is: 525.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    413.20 : 570.48 = 380.32 : x
  2. Step 2: Convert to fraction form
    413.20/570.48 = 380.32/x
  3. Step 3: Cross multiply
    413.20x = 570.48 × 380.32
  4. Step 4: Simplify right side
    413.20x = 216,964.95
  5. Step 5: Solve for x
    x = 216,964.95/413.20
  6. Step 6: Final answer
    x = 525.08

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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.