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Finding the Fourth Proportional to 976.09, 1,347.83 and 697.18

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Solution

The fourth proportional to 976.09, 1,347.83 and 697.18 is: 962.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    976.09 : 1,347.83 = 697.18 : x
  2. Step 2: Convert to fraction form
    976.09/1,347.83 = 697.18/x
  3. Step 3: Cross multiply
    976.09x = 1,347.83 × 697.18
  4. Step 4: Simplify right side
    976.09x = 939,676.63
  5. Step 5: Solve for x
    x = 939,676.63/976.09
  6. Step 6: Final answer
    x = 962.69

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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.