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Finding the Fourth Proportional to 976.61, 1,464.18 and 538.04

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Solution

The fourth proportional to 976.61, 1,464.18 and 538.04 is: 806.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    976.61 : 1,464.18 = 538.04 : x
  2. Step 2: Convert to fraction form
    976.61/1,464.18 = 538.04/x
  3. Step 3: Cross multiply
    976.61x = 1,464.18 × 538.04
  4. Step 4: Simplify right side
    976.61x = 787,789.05
  5. Step 5: Solve for x
    x = 787,789.05/976.61
  6. Step 6: Final answer
    x = 806.66

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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.