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Finding the Fourth Proportional to 768.71, 1,154.15 and 393.74

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Solution

The fourth proportional to 768.71, 1,154.15 and 393.74 is: 591.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    768.71 : 1,154.15 = 393.74 : x
  2. Step 2: Convert to fraction form
    768.71/1,154.15 = 393.74/x
  3. Step 3: Cross multiply
    768.71x = 1,154.15 × 393.74
  4. Step 4: Simplify right side
    768.71x = 454,431.94
  5. Step 5: Solve for x
    x = 454,431.94/768.71
  6. Step 6: Final answer
    x = 591.16

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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.