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Finding the Fourth Proportional to 976.74, 1,465.32 and 514.27

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Solution

The fourth proportional to 976.74, 1,465.32 and 514.27 is: 771.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    976.74 : 1,465.32 = 514.27 : x
  2. Step 2: Convert to fraction form
    976.74/1,465.32 = 514.27/x
  3. Step 3: Cross multiply
    976.74x = 1,465.32 × 514.27
  4. Step 4: Simplify right side
    976.74x = 753,570.12
  5. Step 5: Solve for x
    x = 753,570.12/976.74
  6. Step 6: Final answer
    x = 771.52

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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.