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Finding the Fourth Proportional to 738.80, 1,106.78 and 413.18

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Solution

The fourth proportional to 738.80, 1,106.78 and 413.18 is: 618.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    738.80 : 1,106.78 = 413.18 : x
  2. Step 2: Convert to fraction form
    738.80/1,106.78 = 413.18/x
  3. Step 3: Cross multiply
    738.80x = 1,106.78 × 413.18
  4. Step 4: Simplify right side
    738.80x = 457,299.36
  5. Step 5: Solve for x
    x = 457,299.36/738.80
  6. Step 6: Final answer
    x = 618.98

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Why These Related Problems?

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