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Finding the Fourth Proportional to 976.33, 1,463.86 and 770.23

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Solution

The fourth proportional to 976.33, 1,463.86 and 770.23 is: 1,154.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    976.33 : 1,463.86 = 770.23 : x
  2. Step 2: Convert to fraction form
    976.33/1,463.86 = 770.23/x
  3. Step 3: Cross multiply
    976.33x = 1,463.86 × 770.23
  4. Step 4: Simplify right side
    976.33x = 1,127,508.89
  5. Step 5: Solve for x
    x = 1,127,508.89/976.33
  6. Step 6: Final answer
    x = 1,154.84

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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.