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Finding the Fourth Proportional to 645.40, 963.73 and 506.89

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Solution

The fourth proportional to 645.40, 963.73 and 506.89 is: 756.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    645.40 : 963.73 = 506.89 : x
  2. Step 2: Convert to fraction form
    645.40/963.73 = 506.89/x
  3. Step 3: Cross multiply
    645.40x = 963.73 × 506.89
  4. Step 4: Simplify right side
    645.40x = 488,501.42
  5. Step 5: Solve for x
    x = 488,501.42/645.40
  6. Step 6: Final answer
    x = 756.90

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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.