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Finding the Fourth Proportional to 653.75, 902.24 and 374.01

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Solution

The fourth proportional to 653.75, 902.24 and 374.01 is: 516.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    653.75 : 902.24 = 374.01 : x
  2. Step 2: Convert to fraction form
    653.75/902.24 = 374.01/x
  3. Step 3: Cross multiply
    653.75x = 902.24 × 374.01
  4. Step 4: Simplify right side
    653.75x = 337,446.78
  5. Step 5: Solve for x
    x = 337,446.78/653.75
  6. Step 6: Final answer
    x = 516.17

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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.