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Finding the Fourth Proportional to 976.05, 1,464.17 and 420.94

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Solution

The fourth proportional to 976.05, 1,464.17 and 420.94 is: 631.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    976.05 : 1,464.17 = 420.94 : x
  2. Step 2: Convert to fraction form
    976.05/1,464.17 = 420.94/x
  3. Step 3: Cross multiply
    976.05x = 1,464.17 × 420.94
  4. Step 4: Simplify right side
    976.05x = 616,327.72
  5. Step 5: Solve for x
    x = 616,327.72/976.05
  6. Step 6: Final answer
    x = 631.45

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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.