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Finding the Fourth Proportional to 807.50, 1,211.46 and 313.76

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Solution

The fourth proportional to 807.50, 1,211.46 and 313.76 is: 470.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    807.50 : 1,211.46 = 313.76 : x
  2. Step 2: Convert to fraction form
    807.50/1,211.46 = 313.76/x
  3. Step 3: Cross multiply
    807.50x = 1,211.46 × 313.76
  4. Step 4: Simplify right side
    807.50x = 380,107.69
  5. Step 5: Solve for x
    x = 380,107.69/807.50
  6. Step 6: Final answer
    x = 470.72

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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.