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Finding the Fourth Proportional to 475.47, 654.50 and 413.03

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Solution

The fourth proportional to 475.47, 654.50 and 413.03 is: 568.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    475.47 : 654.50 = 413.03 : x
  2. Step 2: Convert to fraction form
    475.47/654.50 = 413.03/x
  3. Step 3: Cross multiply
    475.47x = 654.50 × 413.03
  4. Step 4: Simplify right side
    475.47x = 270,330.80
  5. Step 5: Solve for x
    x = 270,330.80/475.47
  6. Step 6: Final answer
    x = 568.55

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.