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Finding the Fourth Proportional to 976.44, 1,347.48 and 598.22

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Solution

The fourth proportional to 976.44, 1,347.48 and 598.22 is: 825.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    976.44 : 1,347.48 = 598.22 : x
  2. Step 2: Convert to fraction form
    976.44/1,347.48 = 598.22/x
  3. Step 3: Cross multiply
    976.44x = 1,347.48 × 598.22
  4. Step 4: Simplify right side
    976.44x = 806,089.49
  5. Step 5: Solve for x
    x = 806,089.49/976.44
  6. Step 6: Final answer
    x = 825.54

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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.