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Finding the Fourth Proportional to 976.00, 1,464.13 and 455.93

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Solution

The fourth proportional to 976.00, 1,464.13 and 455.93 is: 683.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    976.00 : 1,464.13 = 455.93 : x
  2. Step 2: Convert to fraction form
    976.00/1,464.13 = 455.93/x
  3. Step 3: Cross multiply
    976.00x = 1,464.13 × 455.93
  4. Step 4: Simplify right side
    976.00x = 667,536.97
  5. Step 5: Solve for x
    x = 667,536.97/976.00
  6. Step 6: Final answer
    x = 683.95

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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.