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Finding the Fourth Proportional to 976.17, 1,345.90 and 788.97

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Solution

The fourth proportional to 976.17, 1,345.90 and 788.97 is: 1,087.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    976.17 : 1,345.90 = 788.97 : x
  2. Step 2: Convert to fraction form
    976.17/1,345.90 = 788.97/x
  3. Step 3: Cross multiply
    976.17x = 1,345.90 × 788.97
  4. Step 4: Simplify right side
    976.17x = 1,061,874.72
  5. Step 5: Solve for x
    x = 1,061,874.72/976.17
  6. Step 6: Final answer
    x = 1,087.80

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.