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Finding the Fourth Proportional to 768.62, 1,152.11 and 358.04

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Solution

The fourth proportional to 768.62, 1,152.11 and 358.04 is: 536.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    768.62 : 1,152.11 = 358.04 : x
  2. Step 2: Convert to fraction form
    768.62/1,152.11 = 358.04/x
  3. Step 3: Cross multiply
    768.62x = 1,152.11 × 358.04
  4. Step 4: Simplify right side
    768.62x = 412,505.24
  5. Step 5: Solve for x
    x = 412,505.24/768.62
  6. Step 6: Final answer
    x = 536.68

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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.