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Finding the Fourth Proportional to 645.62, 966.60 and 580.01

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Solution

The fourth proportional to 645.62, 966.60 and 580.01 is: 868.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    645.62 : 966.60 = 580.01 : x
  2. Step 2: Convert to fraction form
    645.62/966.60 = 580.01/x
  3. Step 3: Cross multiply
    645.62x = 966.60 × 580.01
  4. Step 4: Simplify right side
    645.62x = 560,632.83
  5. Step 5: Solve for x
    x = 560,632.83/645.62
  6. Step 6: Final answer
    x = 868.37

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.