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Finding the Fourth Proportional to 828.69, 1,143.51 and 474.70

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Solution

The fourth proportional to 828.69, 1,143.51 and 474.70 is: 655.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    828.69 : 1,143.51 = 474.70 : x
  2. Step 2: Convert to fraction form
    828.69/1,143.51 = 474.70/x
  3. Step 3: Cross multiply
    828.69x = 1,143.51 × 474.70
  4. Step 4: Simplify right side
    828.69x = 542,824.20
  5. Step 5: Solve for x
    x = 542,824.20/828.69
  6. Step 6: Final answer
    x = 655.04

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Double scale
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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.