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Finding the Fourth Proportional to 800.90, 1,202.03 and 314.30

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Solution

The fourth proportional to 800.90, 1,202.03 and 314.30 is: 471.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    800.90 : 1,202.03 = 314.30 : x
  2. Step 2: Convert to fraction form
    800.90/1,202.03 = 314.30/x
  3. Step 3: Cross multiply
    800.90x = 1,202.03 × 314.30
  4. Step 4: Simplify right side
    800.90x = 377,798.03
  5. Step 5: Solve for x
    x = 377,798.03/800.90
  6. Step 6: Final answer
    x = 471.72

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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.