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Finding the Fourth Proportional to 653.78, 894.20 and 644.06

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Solution

The fourth proportional to 653.78, 894.20 and 644.06 is: 880.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    653.78 : 894.20 = 644.06 : x
  2. Step 2: Convert to fraction form
    653.78/894.20 = 644.06/x
  3. Step 3: Cross multiply
    653.78x = 894.20 × 644.06
  4. Step 4: Simplify right side
    653.78x = 575,918.45
  5. Step 5: Solve for x
    x = 575,918.45/653.78
  6. Step 6: Final answer
    x = 880.91

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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.