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Finding the Fourth Proportional to 532.57, 734.96 and 299.70

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Solution

The fourth proportional to 532.57, 734.96 and 299.70 is: 413.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    532.57 : 734.96 = 299.70 : x
  2. Step 2: Convert to fraction form
    532.57/734.96 = 299.70/x
  3. Step 3: Cross multiply
    532.57x = 734.96 × 299.70
  4. Step 4: Simplify right side
    532.57x = 220,267.51
  5. Step 5: Solve for x
    x = 220,267.51/532.57
  6. Step 6: Final answer
    x = 413.59

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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.