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Finding the Fourth Proportional to 976.45, 1,464.39 and 428.50

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Solution

The fourth proportional to 976.45, 1,464.39 and 428.50 is: 642.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    976.45 : 1,464.39 = 428.50 : x
  2. Step 2: Convert to fraction form
    976.45/1,464.39 = 428.50/x
  3. Step 3: Cross multiply
    976.45x = 1,464.39 × 428.50
  4. Step 4: Simplify right side
    976.45x = 627,491.12
  5. Step 5: Solve for x
    x = 627,491.12/976.45
  6. Step 6: Final answer
    x = 642.62

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1.5x scale

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.