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Finding the Fourth Proportional to 976.44, 1,465.80 and 771.14

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Solution

The fourth proportional to 976.44, 1,465.80 and 771.14 is: 1,157.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    976.44 : 1,465.80 = 771.14 : x
  2. Step 2: Convert to fraction form
    976.44/1,465.80 = 771.14/x
  3. Step 3: Cross multiply
    976.44x = 1,465.80 × 771.14
  4. Step 4: Simplify right side
    976.44x = 1,130,337.01
  5. Step 5: Solve for x
    x = 1,130,337.01/976.44
  6. Step 6: Final answer
    x = 1,157.61

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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.