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Finding the Fourth Proportional to 532.52, 734.88 and 299.65

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Solution

The fourth proportional to 532.52, 734.88 and 299.65 is: 413.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    532.52 : 734.88 = 299.65 : x
  2. Step 2: Convert to fraction form
    532.52/734.88 = 299.65/x
  3. Step 3: Cross multiply
    532.52x = 734.88 × 299.65
  4. Step 4: Simplify right side
    532.52x = 220,206.79
  5. Step 5: Solve for x
    x = 220,206.79/532.52
  6. Step 6: Final answer
    x = 413.52

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