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Finding the Fourth Proportional to 645.35, 972.08 and 636.84

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Solution

The fourth proportional to 645.35, 972.08 and 636.84 is: 959.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    645.35 : 972.08 = 636.84 : x
  2. Step 2: Convert to fraction form
    645.35/972.08 = 636.84/x
  3. Step 3: Cross multiply
    645.35x = 972.08 × 636.84
  4. Step 4: Simplify right side
    645.35x = 619,058.63
  5. Step 5: Solve for x
    x = 619,058.63/645.35
  6. Step 6: Final answer
    x = 959.27

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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.