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Finding the Fourth Proportional to 1,008.10, 1,508.50 and 833.14

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Solution

The fourth proportional to 1,008.10, 1,508.50 and 833.14 is: 1,246.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,008.10 : 1,508.50 = 833.14 : x
  2. Step 2: Convert to fraction form
    1,008.10/1,508.50 = 833.14/x
  3. Step 3: Cross multiply
    1,008.10x = 1,508.50 × 833.14
  4. Step 4: Simplify right side
    1,008.10x = 1,256,779.98
  5. Step 5: Solve for x
    x = 1,256,779.98/1,008.10
  6. Step 6: Final answer
    x = 1,246.69

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.