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Finding the Fourth Proportional to 977.91, 1,467.51 and 361.62

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Solution

The fourth proportional to 977.91, 1,467.51 and 361.62 is: 542.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    977.91 : 1,467.51 = 361.62 : x
  2. Step 2: Convert to fraction form
    977.91/1,467.51 = 361.62/x
  3. Step 3: Cross multiply
    977.91x = 1,467.51 × 361.62
  4. Step 4: Simplify right side
    977.91x = 530,680.97
  5. Step 5: Solve for x
    x = 530,680.97/977.91
  6. Step 6: Final answer
    x = 542.67

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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.