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Finding the Fourth Proportional to 968.82, 1,334.72 and 669.78

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Solution

The fourth proportional to 968.82, 1,334.72 and 669.78 is: 922.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    968.82 : 1,334.72 = 669.78 : x
  2. Step 2: Convert to fraction form
    968.82/1,334.72 = 669.78/x
  3. Step 3: Cross multiply
    968.82x = 1,334.72 × 669.78
  4. Step 4: Simplify right side
    968.82x = 893,968.76
  5. Step 5: Solve for x
    x = 893,968.76/968.82
  6. Step 6: Final answer
    x = 922.74

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.