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Finding the Fourth Proportional to 645.39, 972.72 and 610.20

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Solution

The fourth proportional to 645.39, 972.72 and 610.20 is: 919.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    645.39 : 972.72 = 610.20 : x
  2. Step 2: Convert to fraction form
    645.39/972.72 = 610.20/x
  3. Step 3: Cross multiply
    645.39x = 972.72 × 610.20
  4. Step 4: Simplify right side
    645.39x = 593,553.74
  5. Step 5: Solve for x
    x = 593,553.74/645.39
  6. Step 6: Final answer
    x = 919.68

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.