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Finding the Fourth Proportional to 872.65, 1,306.65 and 699.67

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Solution

The fourth proportional to 872.65, 1,306.65 and 699.67 is: 1,047.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    872.65 : 1,306.65 = 699.67 : x
  2. Step 2: Convert to fraction form
    872.65/1,306.65 = 699.67/x
  3. Step 3: Cross multiply
    872.65x = 1,306.65 × 699.67
  4. Step 4: Simplify right side
    872.65x = 914,223.81
  5. Step 5: Solve for x
    x = 914,223.81/872.65
  6. Step 6: Final answer
    x = 1,047.64

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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.