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Finding the Fourth Proportional to 977.20, 1,464.81 and 428.92

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Solution

The fourth proportional to 977.20, 1,464.81 and 428.92 is: 642.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    977.20 : 1,464.81 = 428.92 : x
  2. Step 2: Convert to fraction form
    977.20/1,464.81 = 428.92/x
  3. Step 3: Cross multiply
    977.20x = 1,464.81 × 428.92
  4. Step 4: Simplify right side
    977.20x = 628,286.31
  5. Step 5: Solve for x
    x = 628,286.31/977.20
  6. Step 6: Final answer
    x = 642.95

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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.