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Finding the Fourth Proportional to 653.84, 902.29 and 355.09

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Solution

The fourth proportional to 653.84, 902.29 and 355.09 is: 490.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    653.84 : 902.29 = 355.09 : x
  2. Step 2: Convert to fraction form
    653.84/902.29 = 355.09/x
  3. Step 3: Cross multiply
    653.84x = 902.29 × 355.09
  4. Step 4: Simplify right side
    653.84x = 320,389.64
  5. Step 5: Solve for x
    x = 320,389.64/653.84
  6. Step 6: Final answer
    x = 490.02

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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.