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Finding the Fourth Proportional to 1,008.20, 1,500.10 and 983.09

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Solution

The fourth proportional to 1,008.20, 1,500.10 and 983.09 is: 1,462.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,008.20 : 1,500.10 = 983.09 : x
  2. Step 2: Convert to fraction form
    1,008.20/1,500.10 = 983.09/x
  3. Step 3: Cross multiply
    1,008.20x = 1,500.10 × 983.09
  4. Step 4: Simplify right side
    1,008.20x = 1,474,733.31
  5. Step 5: Solve for x
    x = 1,474,733.31/1,008.20
  6. Step 6: Final answer
    x = 1,462.74

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.