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Finding the Fourth Proportional to 653.22, 900.09 and 466.56

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Solution

The fourth proportional to 653.22, 900.09 and 466.56 is: 642.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    653.22 : 900.09 = 466.56 : x
  2. Step 2: Convert to fraction form
    653.22/900.09 = 466.56/x
  3. Step 3: Cross multiply
    653.22x = 900.09 × 466.56
  4. Step 4: Simplify right side
    653.22x = 419,945.99
  5. Step 5: Solve for x
    x = 419,945.99/653.22
  6. Step 6: Final answer
    x = 642.89

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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.