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Finding the Fourth Proportional to 828.64, 1,143.64 and 497.28

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Solution

The fourth proportional to 828.64, 1,143.64 and 497.28 is: 686.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    828.64 : 1,143.64 = 497.28 : x
  2. Step 2: Convert to fraction form
    828.64/1,143.64 = 497.28/x
  3. Step 3: Cross multiply
    828.64x = 1,143.64 × 497.28
  4. Step 4: Simplify right side
    828.64x = 568,709.30
  5. Step 5: Solve for x
    x = 568,709.30/828.64
  6. Step 6: Final answer
    x = 686.32

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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.