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Finding the Fourth Proportional to 817.54, 1,128.04 and 486.05

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Solution

The fourth proportional to 817.54, 1,128.04 and 486.05 is: 670.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    817.54 : 1,128.04 = 486.05 : x
  2. Step 2: Convert to fraction form
    817.54/1,128.04 = 486.05/x
  3. Step 3: Cross multiply
    817.54x = 1,128.04 × 486.05
  4. Step 4: Simplify right side
    817.54x = 548,286.07
  5. Step 5: Solve for x
    x = 548,286.07/817.54
  6. Step 6: Final answer
    x = 670.65

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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.