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Finding the Fourth Proportional to 653.74, 902.17 and 373.94

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Solution

The fourth proportional to 653.74, 902.17 and 373.94 is: 516.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    653.74 : 902.17 = 373.94 : x
  2. Step 2: Convert to fraction form
    653.74/902.17 = 373.94/x
  3. Step 3: Cross multiply
    653.74x = 902.17 × 373.94
  4. Step 4: Simplify right side
    653.74x = 337,356.79
  5. Step 5: Solve for x
    x = 337,356.79/653.74
  6. Step 6: Final answer
    x = 516.04

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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.