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Finding the Fourth Proportional to 976.12, 1,347.06 and 550.78

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Solution

The fourth proportional to 976.12, 1,347.06 and 550.78 is: 760.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    976.12 : 1,347.06 = 550.78 : x
  2. Step 2: Convert to fraction form
    976.12/1,347.06 = 550.78/x
  3. Step 3: Cross multiply
    976.12x = 1,347.06 × 550.78
  4. Step 4: Simplify right side
    976.12x = 741,933.71
  5. Step 5: Solve for x
    x = 741,933.71/976.12
  6. Step 6: Final answer
    x = 760.08

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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.