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Finding the Fourth Proportional to 817.78, 1,128.12 and 502.96

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Solution

The fourth proportional to 817.78, 1,128.12 and 502.96 is: 693.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    817.78 : 1,128.12 = 502.96 : x
  2. Step 2: Convert to fraction form
    817.78/1,128.12 = 502.96/x
  3. Step 3: Cross multiply
    817.78x = 1,128.12 × 502.96
  4. Step 4: Simplify right side
    817.78x = 567,399.24
  5. Step 5: Solve for x
    x = 567,399.24/817.78
  6. Step 6: Final answer
    x = 693.83

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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.