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Finding the Fourth Proportional to 927.82, 1,280.21 and 529.47

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Solution

The fourth proportional to 927.82, 1,280.21 and 529.47 is: 730.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    927.82 : 1,280.21 = 529.47 : x
  2. Step 2: Convert to fraction form
    927.82/1,280.21 = 529.47/x
  3. Step 3: Cross multiply
    927.82x = 1,280.21 × 529.47
  4. Step 4: Simplify right side
    927.82x = 677,832.79
  5. Step 5: Solve for x
    x = 677,832.79/927.82
  6. Step 6: Final answer
    x = 730.56

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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.