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Finding the Fourth Proportional to 828.53, 1,143.46 and 497.03

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Solution

The fourth proportional to 828.53, 1,143.46 and 497.03 is: 685.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    828.53 : 1,143.46 = 497.03 : x
  2. Step 2: Convert to fraction form
    828.53/1,143.46 = 497.03/x
  3. Step 3: Cross multiply
    828.53x = 1,143.46 × 497.03
  4. Step 4: Simplify right side
    828.53x = 568,334.61
  5. Step 5: Solve for x
    x = 568,334.61/828.53
  6. Step 6: Final answer
    x = 685.96

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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.