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Finding the Fourth Proportional to 653.37, 900.34 and 466.53

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Solution

The fourth proportional to 653.37, 900.34 and 466.53 is: 642.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    653.37 : 900.34 = 466.53 : x
  2. Step 2: Convert to fraction form
    653.37/900.34 = 466.53/x
  3. Step 3: Cross multiply
    653.37x = 900.34 × 466.53
  4. Step 4: Simplify right side
    653.37x = 420,035.62
  5. Step 5: Solve for x
    x = 420,035.62/653.37
  6. Step 6: Final answer
    x = 642.88

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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.