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Finding the Fourth Proportional to 773.84, 1,157.94 and 666.92

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Solution

The fourth proportional to 773.84, 1,157.94 and 666.92 is: 997.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    773.84 : 1,157.94 = 666.92 : x
  2. Step 2: Convert to fraction form
    773.84/1,157.94 = 666.92/x
  3. Step 3: Cross multiply
    773.84x = 1,157.94 × 666.92
  4. Step 4: Simplify right side
    773.84x = 772,253.34
  5. Step 5: Solve for x
    x = 772,253.34/773.84
  6. Step 6: Final answer
    x = 997.95

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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.