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Finding the Fourth Proportional to 828.57, 1,143.68 and 566.58

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Solution

The fourth proportional to 828.57, 1,143.68 and 566.58 is: 782.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    828.57 : 1,143.68 = 566.58 : x
  2. Step 2: Convert to fraction form
    828.57/1,143.68 = 566.58/x
  3. Step 3: Cross multiply
    828.57x = 1,143.68 × 566.58
  4. Step 4: Simplify right side
    828.57x = 647,983.38
  5. Step 5: Solve for x
    x = 647,983.38/828.57
  6. Step 6: Final answer
    x = 782.05

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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.