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Finding the Fourth Proportional to 828.44, 1,143.50 and 518.20

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Solution

The fourth proportional to 828.44, 1,143.50 and 518.20 is: 715.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    828.44 : 1,143.50 = 518.20 : x
  2. Step 2: Convert to fraction form
    828.44/1,143.50 = 518.20/x
  3. Step 3: Cross multiply
    828.44x = 1,143.50 × 518.20
  4. Step 4: Simplify right side
    828.44x = 592,561.70
  5. Step 5: Solve for x
    x = 592,561.70/828.44
  6. Step 6: Final answer
    x = 715.27

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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.