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Finding the Fourth Proportional to 976.42, 1,464.36 and 428.46

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Solution

The fourth proportional to 976.42, 1,464.36 and 428.46 is: 642.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    976.42 : 1,464.36 = 428.46 : x
  2. Step 2: Convert to fraction form
    976.42/1,464.36 = 428.46/x
  3. Step 3: Cross multiply
    976.42x = 1,464.36 × 428.46
  4. Step 4: Simplify right side
    976.42x = 627,419.69
  5. Step 5: Solve for x
    x = 627,419.69/976.42
  6. Step 6: Final answer
    x = 642.57

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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.