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Finding the Fourth Proportional to 738.38, 1,106.85 and 413.03

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Solution

The fourth proportional to 738.38, 1,106.85 and 413.03 is: 619.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    738.38 : 1,106.85 = 413.03 : x
  2. Step 2: Convert to fraction form
    738.38/1,106.85 = 413.03/x
  3. Step 3: Cross multiply
    738.38x = 1,106.85 × 413.03
  4. Step 4: Simplify right side
    738.38x = 457,162.26
  5. Step 5: Solve for x
    x = 457,162.26/738.38
  6. Step 6: Final answer
    x = 619.14

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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.