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Finding the Fourth Proportional to 817.49, 1,128.11 and 463.42

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Solution

The fourth proportional to 817.49, 1,128.11 and 463.42 is: 639.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    817.49 : 1,128.11 = 463.42 : x
  2. Step 2: Convert to fraction form
    817.49/1,128.11 = 463.42/x
  3. Step 3: Cross multiply
    817.49x = 1,128.11 × 463.42
  4. Step 4: Simplify right side
    817.49x = 522,788.74
  5. Step 5: Solve for x
    x = 522,788.74/817.49
  6. Step 6: Final answer
    x = 639.50

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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.