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Finding the Fourth Proportional to 817.78, 1,128.03 and 503.20

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Solution

The fourth proportional to 817.78, 1,128.03 and 503.20 is: 694.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    817.78 : 1,128.03 = 503.20 : x
  2. Step 2: Convert to fraction form
    817.78/1,128.03 = 503.20/x
  3. Step 3: Cross multiply
    817.78x = 1,128.03 × 503.20
  4. Step 4: Simplify right side
    817.78x = 567,624.70
  5. Step 5: Solve for x
    x = 567,624.70/817.78
  6. Step 6: Final answer
    x = 694.10

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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.