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Finding the Fourth Proportional to 976.79, 1,466.06 and 713.48

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Solution

The fourth proportional to 976.79, 1,466.06 and 713.48 is: 1,070.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    976.79 : 1,466.06 = 713.48 : x
  2. Step 2: Convert to fraction form
    976.79/1,466.06 = 713.48/x
  3. Step 3: Cross multiply
    976.79x = 1,466.06 × 713.48
  4. Step 4: Simplify right side
    976.79x = 1,046,004.49
  5. Step 5: Solve for x
    x = 1,046,004.49/976.79
  6. Step 6: Final answer
    x = 1,070.86

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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.