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Finding the Fourth Proportional to 653.79, 902.17 and 374.00

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Solution

The fourth proportional to 653.79, 902.17 and 374.00 is: 516.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    653.79 : 902.17 = 374.00 : x
  2. Step 2: Convert to fraction form
    653.79/902.17 = 374.00/x
  3. Step 3: Cross multiply
    653.79x = 902.17 × 374.00
  4. Step 4: Simplify right side
    653.79x = 337,412.61
  5. Step 5: Solve for x
    x = 337,412.61/653.79
  6. Step 6: Final answer
    x = 516.09

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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.