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Finding the Fourth Proportional to 828.78, 1,143.75 and 497.08

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Solution

The fourth proportional to 828.78, 1,143.75 and 497.08 is: 685.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    828.78 : 1,143.75 = 497.08 : x
  2. Step 2: Convert to fraction form
    828.78/1,143.75 = 497.08/x
  3. Step 3: Cross multiply
    828.78x = 1,143.75 × 497.08
  4. Step 4: Simplify right side
    828.78x = 568,536.25
  5. Step 5: Solve for x
    x = 568,536.25/828.78
  6. Step 6: Final answer
    x = 685.99

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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.