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Finding the Fourth Proportional to 814, 1,221.56 and 705.68

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Solution

The fourth proportional to 814, 1,221.56 and 705.68 is: 1,059.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    814 : 1,221.56 = 705.68 : x
  2. Step 2: Convert to fraction form
    814/1,221.56 = 705.68/x
  3. Step 3: Cross multiply
    814x = 1,221.56 × 705.68
  4. Step 4: Simplify right side
    814x = 862,030.46
  5. Step 5: Solve for x
    x = 862,030.46/814
  6. Step 6: Final answer
    x = 1,059.01

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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.