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Finding the Fourth Proportional to 977.20, 1,463.23 and 669.67

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Solution

The fourth proportional to 977.20, 1,463.23 and 669.67 is: 1,002.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    977.20 : 1,463.23 = 669.67 : x
  2. Step 2: Convert to fraction form
    977.20/1,463.23 = 669.67/x
  3. Step 3: Cross multiply
    977.20x = 1,463.23 × 669.67
  4. Step 4: Simplify right side
    977.20x = 979,878.41
  5. Step 5: Solve for x
    x = 979,878.41/977.20
  6. Step 6: Final answer
    x = 1,002.74

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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.