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Finding the Fourth Proportional to 653.69, 902.22 and 405.12

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Solution

The fourth proportional to 653.69, 902.22 and 405.12 is: 559.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    653.69 : 902.22 = 405.12 : x
  2. Step 2: Convert to fraction form
    653.69/902.22 = 405.12/x
  3. Step 3: Cross multiply
    653.69x = 902.22 × 405.12
  4. Step 4: Simplify right side
    653.69x = 365,507.37
  5. Step 5: Solve for x
    x = 365,507.37/653.69
  6. Step 6: Final answer
    x = 559.14

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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.