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Finding the Fourth Proportional to 645.84, 967.59 and 371.34

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Solution

The fourth proportional to 645.84, 967.59 and 371.34 is: 556.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    645.84 : 967.59 = 371.34 : x
  2. Step 2: Convert to fraction form
    645.84/967.59 = 371.34/x
  3. Step 3: Cross multiply
    645.84x = 967.59 × 371.34
  4. Step 4: Simplify right side
    645.84x = 359,304.87
  5. Step 5: Solve for x
    x = 359,304.87/645.84
  6. Step 6: Final answer
    x = 556.34

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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.