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Finding the Fourth Proportional to 828.34, 1,142.98 and 496.68

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Solution

The fourth proportional to 828.34, 1,142.98 and 496.68 is: 685.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    828.34 : 1,142.98 = 496.68 : x
  2. Step 2: Convert to fraction form
    828.34/1,142.98 = 496.68/x
  3. Step 3: Cross multiply
    828.34x = 1,142.98 × 496.68
  4. Step 4: Simplify right side
    828.34x = 567,695.31
  5. Step 5: Solve for x
    x = 567,695.31/828.34
  6. Step 6: Final answer
    x = 685.34

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Double scale
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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.