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Finding the Fourth Proportional to 532.83, 734.31 and 385.22

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Solution

The fourth proportional to 532.83, 734.31 and 385.22 is: 530.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    532.83 : 734.31 = 385.22 : x
  2. Step 2: Convert to fraction form
    532.83/734.31 = 385.22/x
  3. Step 3: Cross multiply
    532.83x = 734.31 × 385.22
  4. Step 4: Simplify right side
    532.83x = 282,867.23
  5. Step 5: Solve for x
    x = 282,867.23/532.83
  6. Step 6: Final answer
    x = 530.88

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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.