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Finding the Fourth Proportional to 532.50, 734.85 and 299.64

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Solution

The fourth proportional to 532.50, 734.85 and 299.64 is: 413.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    532.50 : 734.85 = 299.64 : x
  2. Step 2: Convert to fraction form
    532.50/734.85 = 299.64/x
  3. Step 3: Cross multiply
    532.50x = 734.85 × 299.64
  4. Step 4: Simplify right side
    532.50x = 220,190.45
  5. Step 5: Solve for x
    x = 220,190.45/532.50
  6. Step 6: Final answer
    x = 413.50

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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.