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Finding the Fourth Proportional to 738.66, 1,106.64 and 413.04

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Solution

The fourth proportional to 738.66, 1,106.64 and 413.04 is: 618.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    738.66 : 1,106.64 = 413.04 : x
  2. Step 2: Convert to fraction form
    738.66/1,106.64 = 413.04/x
  3. Step 3: Cross multiply
    738.66x = 1,106.64 × 413.04
  4. Step 4: Simplify right side
    738.66x = 457,086.59
  5. Step 5: Solve for x
    x = 457,086.59/738.66
  6. Step 6: Final answer
    x = 618.81

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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.