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Finding the Fourth Proportional to 529.68, 730.64 and 382.64

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Solution

The fourth proportional to 529.68, 730.64 and 382.64 is: 527.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    529.68 : 730.64 = 382.64 : x
  2. Step 2: Convert to fraction form
    529.68/730.64 = 382.64/x
  3. Step 3: Cross multiply
    529.68x = 730.64 × 382.64
  4. Step 4: Simplify right side
    529.68x = 279,572.09
  5. Step 5: Solve for x
    x = 279,572.09/529.68
  6. Step 6: Final answer
    x = 527.81

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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.