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Finding the Fourth Proportional to 976.62, 1,465.94 and 566.56

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Solution

The fourth proportional to 976.62, 1,465.94 and 566.56 is: 850.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    976.62 : 1,465.94 = 566.56 : x
  2. Step 2: Convert to fraction form
    976.62/1,465.94 = 566.56/x
  3. Step 3: Cross multiply
    976.62x = 1,465.94 × 566.56
  4. Step 4: Simplify right side
    976.62x = 830,532.80
  5. Step 5: Solve for x
    x = 830,532.80/976.62
  6. Step 6: Final answer
    x = 850.42

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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.