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Finding the Fourth Proportional to 433.62, 647.87 and 413.46

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Solution

The fourth proportional to 433.62, 647.87 and 413.46 is: 617.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    433.62 : 647.87 = 413.46 : x
  2. Step 2: Convert to fraction form
    433.62/647.87 = 413.46/x
  3. Step 3: Cross multiply
    433.62x = 647.87 × 413.46
  4. Step 4: Simplify right side
    433.62x = 267,866.26
  5. Step 5: Solve for x
    x = 267,866.26/433.62
  6. Step 6: Final answer
    x = 617.74

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.