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Finding the Fourth Proportional to 649.19, 967.28 and 631.78

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Solution

The fourth proportional to 649.19, 967.28 and 631.78 is: 941.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    649.19 : 967.28 = 631.78 : x
  2. Step 2: Convert to fraction form
    649.19/967.28 = 631.78/x
  3. Step 3: Cross multiply
    649.19x = 967.28 × 631.78
  4. Step 4: Simplify right side
    649.19x = 611,102.58
  5. Step 5: Solve for x
    x = 611,102.58/649.19
  6. Step 6: Final answer
    x = 941.33

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.