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Finding the Fourth Proportional to 532.57, 734.94 and 299.69

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Solution

The fourth proportional to 532.57, 734.94 and 299.69 is: 413.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    532.57 : 734.94 = 299.69 : x
  2. Step 2: Convert to fraction form
    532.57/734.94 = 299.69/x
  3. Step 3: Cross multiply
    532.57x = 734.94 × 299.69
  4. Step 4: Simplify right side
    532.57x = 220,252.67
  5. Step 5: Solve for x
    x = 220,252.67/532.57
  6. Step 6: Final answer
    x = 413.57

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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.