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Finding the Fourth Proportional to 828.62, 1,143.42 and 479.24

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Solution

The fourth proportional to 828.62, 1,143.42 and 479.24 is: 661.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    828.62 : 1,143.42 = 479.24 : x
  2. Step 2: Convert to fraction form
    828.62/1,143.42 = 479.24/x
  3. Step 3: Cross multiply
    828.62x = 1,143.42 × 479.24
  4. Step 4: Simplify right side
    828.62x = 547,972.60
  5. Step 5: Solve for x
    x = 547,972.60/828.62
  6. Step 6: Final answer
    x = 661.31

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1.5x scale

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.