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Finding the Fourth Proportional to 653.32, 899.94 and 611.56

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Solution

The fourth proportional to 653.32, 899.94 and 611.56 is: 842.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    653.32 : 899.94 = 611.56 : x
  2. Step 2: Convert to fraction form
    653.32/899.94 = 611.56/x
  3. Step 3: Cross multiply
    653.32x = 899.94 × 611.56
  4. Step 4: Simplify right side
    653.32x = 550,367.31
  5. Step 5: Solve for x
    x = 550,367.31/653.32
  6. Step 6: Final answer
    x = 842.42

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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.