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Finding the Fourth Proportional to 976.54, 1,347.96 and 698.18

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Solution

The fourth proportional to 976.54, 1,347.96 and 698.18 is: 963.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    976.54 : 1,347.96 = 698.18 : x
  2. Step 2: Convert to fraction form
    976.54/1,347.96 = 698.18/x
  3. Step 3: Cross multiply
    976.54x = 1,347.96 × 698.18
  4. Step 4: Simplify right side
    976.54x = 941,118.71
  5. Step 5: Solve for x
    x = 941,118.71/976.54
  6. Step 6: Final answer
    x = 963.73

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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.