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Finding the Fourth Proportional to 532.19, 734.22 and 392.64

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Solution

The fourth proportional to 532.19, 734.22 and 392.64 is: 541.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    532.19 : 734.22 = 392.64 : x
  2. Step 2: Convert to fraction form
    532.19/734.22 = 392.64/x
  3. Step 3: Cross multiply
    532.19x = 734.22 × 392.64
  4. Step 4: Simplify right side
    532.19x = 288,284.14
  5. Step 5: Solve for x
    x = 288,284.14/532.19
  6. Step 6: Final answer
    x = 541.69

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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.