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Finding the Fourth Proportional to 976.91, 1,347.76 and 622.77

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Solution

The fourth proportional to 976.91, 1,347.76 and 622.77 is: 859.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    976.91 : 1,347.76 = 622.77 : x
  2. Step 2: Convert to fraction form
    976.91/1,347.76 = 622.77/x
  3. Step 3: Cross multiply
    976.91x = 1,347.76 × 622.77
  4. Step 4: Simplify right side
    976.91x = 839,344.50
  5. Step 5: Solve for x
    x = 839,344.50/976.91
  6. Step 6: Final answer
    x = 859.18

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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.