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Finding the Fourth Proportional to 529.57, 730.78 and 308.62

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Solution

The fourth proportional to 529.57, 730.78 and 308.62 is: 425.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    529.57 : 730.78 = 308.62 : x
  2. Step 2: Convert to fraction form
    529.57/730.78 = 308.62/x
  3. Step 3: Cross multiply
    529.57x = 730.78 × 308.62
  4. Step 4: Simplify right side
    529.57x = 225,533.32
  5. Step 5: Solve for x
    x = 225,533.32/529.57
  6. Step 6: Final answer
    x = 425.88

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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.