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Finding the Fourth Proportional to 800.06, 1,199.37 and 313.45

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Solution

The fourth proportional to 800.06, 1,199.37 and 313.45 is: 469.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    800.06 : 1,199.37 = 313.45 : x
  2. Step 2: Convert to fraction form
    800.06/1,199.37 = 313.45/x
  3. Step 3: Cross multiply
    800.06x = 1,199.37 × 313.45
  4. Step 4: Simplify right side
    800.06x = 375,936.53
  5. Step 5: Solve for x
    x = 375,936.53/800.06
  6. Step 6: Final answer
    x = 469.89

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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.