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Finding the Fourth Proportional to 434.04, 649.80 and 413.88

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Solution

The fourth proportional to 434.04, 649.80 and 413.88 is: 619.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    434.04 : 649.80 = 413.88 : x
  2. Step 2: Convert to fraction form
    434.04/649.80 = 413.88/x
  3. Step 3: Cross multiply
    434.04x = 649.80 × 413.88
  4. Step 4: Simplify right side
    434.04x = 268,939.22
  5. Step 5: Solve for x
    x = 268,939.22/434.04
  6. Step 6: Final answer
    x = 619.62

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.