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Finding the Fourth Proportional to 976.94, 1,347.59 and 622.92

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Solution

The fourth proportional to 976.94, 1,347.59 and 622.92 is: 859.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    976.94 : 1,347.59 = 622.92 : x
  2. Step 2: Convert to fraction form
    976.94/1,347.59 = 622.92/x
  3. Step 3: Cross multiply
    976.94x = 1,347.59 × 622.92
  4. Step 4: Simplify right side
    976.94x = 839,432.50
  5. Step 5: Solve for x
    x = 839,432.50/976.94
  6. Step 6: Final answer
    x = 859.25

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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.