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Finding the Fourth Proportional to 805.68, 1,202.72 and 682.56

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Solution

The fourth proportional to 805.68, 1,202.72 and 682.56 is: 1,018.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    805.68 : 1,202.72 = 682.56 : x
  2. Step 2: Convert to fraction form
    805.68/1,202.72 = 682.56/x
  3. Step 3: Cross multiply
    805.68x = 1,202.72 × 682.56
  4. Step 4: Simplify right side
    805.68x = 820,925.15
  5. Step 5: Solve for x
    x = 820,925.15/805.68
  6. Step 6: Final answer
    x = 1,018.92

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.