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Finding the Fourth Proportional to 828.90, 1,143.86 and 479.57

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Solution

The fourth proportional to 828.90, 1,143.86 and 479.57 is: 661.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    828.90 : 1,143.86 = 479.57 : x
  2. Step 2: Convert to fraction form
    828.90/1,143.86 = 479.57/x
  3. Step 3: Cross multiply
    828.90x = 1,143.86 × 479.57
  4. Step 4: Simplify right side
    828.90x = 548,552.82
  5. Step 5: Solve for x
    x = 548,552.82/828.90
  6. Step 6: Final answer
    x = 661.78

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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.