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Finding the Fourth Proportional to 712.31, 1,068.52 and 273.77

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Solution

The fourth proportional to 712.31, 1,068.52 and 273.77 is: 410.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    712.31 : 1,068.52 = 273.77 : x
  2. Step 2: Convert to fraction form
    712.31/1,068.52 = 273.77/x
  3. Step 3: Cross multiply
    712.31x = 1,068.52 × 273.77
  4. Step 4: Simplify right side
    712.31x = 292,524.94
  5. Step 5: Solve for x
    x = 292,524.94/712.31
  6. Step 6: Final answer
    x = 410.67

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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.