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Finding the Fourth Proportional to 976.66, 1,346.02 and 771.37

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Solution

The fourth proportional to 976.66, 1,346.02 and 771.37 is: 1,063.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    976.66 : 1,346.02 = 771.37 : x
  2. Step 2: Convert to fraction form
    976.66/1,346.02 = 771.37/x
  3. Step 3: Cross multiply
    976.66x = 1,346.02 × 771.37
  4. Step 4: Simplify right side
    976.66x = 1,038,284.98
  5. Step 5: Solve for x
    x = 1,038,284.98/976.66
  6. Step 6: Final answer
    x = 1,063.10

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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.