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Finding the Fourth Proportional to 532.06, 734.25 and 399.05

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Solution

The fourth proportional to 532.06, 734.25 and 399.05 is: 550.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    532.06 : 734.25 = 399.05 : x
  2. Step 2: Convert to fraction form
    532.06/734.25 = 399.05/x
  3. Step 3: Cross multiply
    532.06x = 734.25 × 399.05
  4. Step 4: Simplify right side
    532.06x = 293,002.46
  5. Step 5: Solve for x
    x = 293,002.46/532.06
  6. Step 6: Final answer
    x = 550.69

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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.