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Finding the Fourth Proportional to 653.96, 896.62 and 642.27

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Solution

The fourth proportional to 653.96, 896.62 and 642.27 is: 880.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    653.96 : 896.62 = 642.27 : x
  2. Step 2: Convert to fraction form
    653.96/896.62 = 642.27/x
  3. Step 3: Cross multiply
    653.96x = 896.62 × 642.27
  4. Step 4: Simplify right side
    653.96x = 575,868.92
  5. Step 5: Solve for x
    x = 575,868.92/653.96
  6. Step 6: Final answer
    x = 880.59

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.