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Finding the Fourth Proportional to 800.07, 1,199.80 and 312.96

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Solution

The fourth proportional to 800.07, 1,199.80 and 312.96 is: 469.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    800.07 : 1,199.80 = 312.96 : x
  2. Step 2: Convert to fraction form
    800.07/1,199.80 = 312.96/x
  3. Step 3: Cross multiply
    800.07x = 1,199.80 × 312.96
  4. Step 4: Simplify right side
    800.07x = 375,489.41
  5. Step 5: Solve for x
    x = 375,489.41/800.07
  6. Step 6: Final answer
    x = 469.32

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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.