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Finding the Fourth Proportional to 998.16, 1,497.58 and 413.48

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Solution

The fourth proportional to 998.16, 1,497.58 and 413.48 is: 620.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    998.16 : 1,497.58 = 413.48 : x
  2. Step 2: Convert to fraction form
    998.16/1,497.58 = 413.48/x
  3. Step 3: Cross multiply
    998.16x = 1,497.58 × 413.48
  4. Step 4: Simplify right side
    998.16x = 619,219.91
  5. Step 5: Solve for x
    x = 619,219.91/998.16
  6. Step 6: Final answer
    x = 620.36

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1.5x scale

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.