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Finding the Fourth Proportional to 644.68, 967.14 and 412.76

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Solution

The fourth proportional to 644.68, 967.14 and 412.76 is: 619.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    644.68 : 967.14 = 412.76 : x
  2. Step 2: Convert to fraction form
    644.68/967.14 = 412.76/x
  3. Step 3: Cross multiply
    644.68x = 967.14 × 412.76
  4. Step 4: Simplify right side
    644.68x = 399,196.71
  5. Step 5: Solve for x
    x = 399,196.71/644.68
  6. Step 6: Final answer
    x = 619.22

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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.