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Finding the Fourth Proportional to 653.78, 902.39 and 374.16

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Solution

The fourth proportional to 653.78, 902.39 and 374.16 is: 516.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    653.78 : 902.39 = 374.16 : x
  2. Step 2: Convert to fraction form
    653.78/902.39 = 374.16/x
  3. Step 3: Cross multiply
    653.78x = 902.39 × 374.16
  4. Step 4: Simplify right side
    653.78x = 337,638.24
  5. Step 5: Solve for x
    x = 337,638.24/653.78
  6. Step 6: Final answer
    x = 516.44

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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.