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Finding the Fourth Proportional to 976.84, 1,348.19 and 622.92

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Solution

The fourth proportional to 976.84, 1,348.19 and 622.92 is: 859.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    976.84 : 1,348.19 = 622.92 : x
  2. Step 2: Convert to fraction form
    976.84/1,348.19 = 622.92/x
  3. Step 3: Cross multiply
    976.84x = 1,348.19 × 622.92
  4. Step 4: Simplify right side
    976.84x = 839,814.71
  5. Step 5: Solve for x
    x = 839,814.71/976.84
  6. Step 6: Final answer
    x = 859.72

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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.