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Finding the Fourth Proportional to 529.40, 730.56 and 319.48

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Solution

The fourth proportional to 529.40, 730.56 and 319.48 is: 440.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    529.40 : 730.56 = 319.48 : x
  2. Step 2: Convert to fraction form
    529.40/730.56 = 319.48/x
  3. Step 3: Cross multiply
    529.40x = 730.56 × 319.48
  4. Step 4: Simplify right side
    529.40x = 233,399.31
  5. Step 5: Solve for x
    x = 233,399.31/529.40
  6. Step 6: Final answer
    x = 440.88

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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.