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Finding the Fourth Proportional to 828.82, 1,143.88 and 479.50

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Solution

The fourth proportional to 828.82, 1,143.88 and 479.50 is: 661.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    828.82 : 1,143.88 = 479.50 : x
  2. Step 2: Convert to fraction form
    828.82/1,143.88 = 479.50/x
  3. Step 3: Cross multiply
    828.82x = 1,143.88 × 479.50
  4. Step 4: Simplify right side
    828.82x = 548,490.46
  5. Step 5: Solve for x
    x = 548,490.46/828.82
  6. Step 6: Final answer
    x = 661.77

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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.