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Finding the Fourth Proportional to 645.96, 964.26 and 597.78

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Solution

The fourth proportional to 645.96, 964.26 and 597.78 is: 892.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    645.96 : 964.26 = 597.78 : x
  2. Step 2: Convert to fraction form
    645.96/964.26 = 597.78/x
  3. Step 3: Cross multiply
    645.96x = 964.26 × 597.78
  4. Step 4: Simplify right side
    645.96x = 576,415.34
  5. Step 5: Solve for x
    x = 576,415.34/645.96
  6. Step 6: Final answer
    x = 892.33

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.