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Finding the Fourth Proportional to 914.24, 1,369.74 and 481.70

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Solution

The fourth proportional to 914.24, 1,369.74 and 481.70 is: 721.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    914.24 : 1,369.74 = 481.70 : x
  2. Step 2: Convert to fraction form
    914.24/1,369.74 = 481.70/x
  3. Step 3: Cross multiply
    914.24x = 1,369.74 × 481.70
  4. Step 4: Simplify right side
    914.24x = 659,803.76
  5. Step 5: Solve for x
    x = 659,803.76/914.24
  6. Step 6: Final answer
    x = 721.70

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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.