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Finding the Fourth Proportional to 529.63, 730.56 and 382.48

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Solution

The fourth proportional to 529.63, 730.56 and 382.48 is: 527.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    529.63 : 730.56 = 382.48 : x
  2. Step 2: Convert to fraction form
    529.63/730.56 = 382.48/x
  3. Step 3: Cross multiply
    529.63x = 730.56 × 382.48
  4. Step 4: Simplify right side
    529.63x = 279,424.59
  5. Step 5: Solve for x
    x = 279,424.59/529.63
  6. Step 6: Final answer
    x = 527.58

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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.