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Finding the Fourth Proportional to 800.70, 1,200.33 and 313.38

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Solution

The fourth proportional to 800.70, 1,200.33 and 313.38 is: 469.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    800.70 : 1,200.33 = 313.38 : x
  2. Step 2: Convert to fraction form
    800.70/1,200.33 = 313.38/x
  3. Step 3: Cross multiply
    800.70x = 1,200.33 × 313.38
  4. Step 4: Simplify right side
    800.70x = 376,159.42
  5. Step 5: Solve for x
    x = 376,159.42/800.70
  6. Step 6: Final answer
    x = 469.79

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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.