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Finding the Fourth Proportional to 808.45, 1,210.08 and 732.67

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Solution

The fourth proportional to 808.45, 1,210.08 and 732.67 is: 1,096.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    808.45 : 1,210.08 = 732.67 : x
  2. Step 2: Convert to fraction form
    808.45/1,210.08 = 732.67/x
  3. Step 3: Cross multiply
    808.45x = 1,210.08 × 732.67
  4. Step 4: Simplify right side
    808.45x = 886,589.31
  5. Step 5: Solve for x
    x = 886,589.31/808.45
  6. Step 6: Final answer
    x = 1,096.65

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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.