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Finding the Fourth Proportional to 803.11, 1,107.87 and 508.27

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Solution

The fourth proportional to 803.11, 1,107.87 and 508.27 is: 701.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    803.11 : 1,107.87 = 508.27 : x
  2. Step 2: Convert to fraction form
    803.11/1,107.87 = 508.27/x
  3. Step 3: Cross multiply
    803.11x = 1,107.87 × 508.27
  4. Step 4: Simplify right side
    803.11x = 563,097.08
  5. Step 5: Solve for x
    x = 563,097.08/803.11
  6. Step 6: Final answer
    x = 701.15

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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.