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Finding the Fourth Proportional to 881.59, 1,211.64 and 856.99

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Solution

The fourth proportional to 881.59, 1,211.64 and 856.99 is: 1,177.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    881.59 : 1,211.64 = 856.99 : x
  2. Step 2: Convert to fraction form
    881.59/1,211.64 = 856.99/x
  3. Step 3: Cross multiply
    881.59x = 1,211.64 × 856.99
  4. Step 4: Simplify right side
    881.59x = 1,038,363.36
  5. Step 5: Solve for x
    x = 1,038,363.36/881.59
  6. Step 6: Final answer
    x = 1,177.83

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.