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Finding the Fourth Proportional to 673.19, 1,007.42 and 413.12

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Solution

The fourth proportional to 673.19, 1,007.42 and 413.12 is: 618.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    673.19 : 1,007.42 = 413.12 : x
  2. Step 2: Convert to fraction form
    673.19/1,007.42 = 413.12/x
  3. Step 3: Cross multiply
    673.19x = 1,007.42 × 413.12
  4. Step 4: Simplify right side
    673.19x = 416,178.25
  5. Step 5: Solve for x
    x = 416,178.25/673.19
  6. Step 6: Final answer
    x = 618.22

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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.