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Finding the Fourth Proportional to 807.67, 1,212.50 and 686.67

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Solution

The fourth proportional to 807.67, 1,212.50 and 686.67 is: 1,030.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    807.67 : 1,212.50 = 686.67 : x
  2. Step 2: Convert to fraction form
    807.67/1,212.50 = 686.67/x
  3. Step 3: Cross multiply
    807.67x = 1,212.50 × 686.67
  4. Step 4: Simplify right side
    807.67x = 832,587.38
  5. Step 5: Solve for x
    x = 832,587.38/807.67
  6. Step 6: Final answer
    x = 1,030.85

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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.