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Finding the Fourth Proportional to 653.87, 902.21 and 374.09

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Solution

The fourth proportional to 653.87, 902.21 and 374.09 is: 516.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    653.87 : 902.21 = 374.09 : x
  2. Step 2: Convert to fraction form
    653.87/902.21 = 374.09/x
  3. Step 3: Cross multiply
    653.87x = 902.21 × 374.09
  4. Step 4: Simplify right side
    653.87x = 337,501.36
  5. Step 5: Solve for x
    x = 337,501.36/653.87
  6. Step 6: Final answer
    x = 516.16

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.