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Finding the Fourth Proportional to 1,679.13, 2,516.64 and 856.95

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Solution

The fourth proportional to 1,679.13, 2,516.64 and 856.95 is: 1,284.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,679.13 : 2,516.64 = 856.95 : x
  2. Step 2: Convert to fraction form
    1,679.13/2,516.64 = 856.95/x
  3. Step 3: Cross multiply
    1,679.13x = 2,516.64 × 856.95
  4. Step 4: Simplify right side
    1,679.13x = 2,156,650.46
  5. Step 5: Solve for x
    x = 2,156,650.46/1,679.13
  6. Step 6: Final answer
    x = 1,284.39

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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.