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Finding the Fourth Proportional to 817.10, 1,127.62 and 485.80

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Solution

The fourth proportional to 817.10, 1,127.62 and 485.80 is: 670.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    817.10 : 1,127.62 = 485.80 : x
  2. Step 2: Convert to fraction form
    817.10/1,127.62 = 485.80/x
  3. Step 3: Cross multiply
    817.10x = 1,127.62 × 485.80
  4. Step 4: Simplify right side
    817.10x = 547,797.80
  5. Step 5: Solve for x
    x = 547,797.80/817.10
  6. Step 6: Final answer
    x = 670.42

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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.