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Finding the Fourth Proportional to 783.11, 1,080.90 and 488.20

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Solution

The fourth proportional to 783.11, 1,080.90 and 488.20 is: 673.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    783.11 : 1,080.90 = 488.20 : x
  2. Step 2: Convert to fraction form
    783.11/1,080.90 = 488.20/x
  3. Step 3: Cross multiply
    783.11x = 1,080.90 × 488.20
  4. Step 4: Simplify right side
    783.11x = 527,687.53
  5. Step 5: Solve for x
    x = 527,687.53/783.11
  6. Step 6: Final answer
    x = 673.84

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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.