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Finding the Fourth Proportional to 976.56, 1,465.20 and 514.68

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Solution

The fourth proportional to 976.56, 1,465.20 and 514.68 is: 772.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    976.56 : 1,465.20 = 514.68 : x
  2. Step 2: Convert to fraction form
    976.56/1,465.20 = 514.68/x
  3. Step 3: Cross multiply
    976.56x = 1,465.20 × 514.68
  4. Step 4: Simplify right side
    976.56x = 754,109.14
  5. Step 5: Solve for x
    x = 754,109.14/976.56
  6. Step 6: Final answer
    x = 772.21

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.