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Finding the Fourth Proportional to 645.88, 890.48 and 527.73

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Solution

The fourth proportional to 645.88, 890.48 and 527.73 is: 727.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    645.88 : 890.48 = 527.73 : x
  2. Step 2: Convert to fraction form
    645.88/890.48 = 527.73/x
  3. Step 3: Cross multiply
    645.88x = 890.48 × 527.73
  4. Step 4: Simplify right side
    645.88x = 469,928.15
  5. Step 5: Solve for x
    x = 469,928.15/645.88
  6. Step 6: Final answer
    x = 727.58

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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.