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Finding the Fourth Proportional to 914.10, 1,372.80 and 800.70

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Solution

The fourth proportional to 914.10, 1,372.80 and 800.70 is: 1,202.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    914.10 : 1,372.80 = 800.70 : x
  2. Step 2: Convert to fraction form
    914.10/1,372.80 = 800.70/x
  3. Step 3: Cross multiply
    914.10x = 1,372.80 × 800.70
  4. Step 4: Simplify right side
    914.10x = 1,099,200.96
  5. Step 5: Solve for x
    x = 1,099,200.96/914.10
  6. Step 6: Final answer
    x = 1,202.50

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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.