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Finding the Fourth Proportional to 687.56, 1,026.90 and 622.43

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Solution

The fourth proportional to 687.56, 1,026.90 and 622.43 is: 929.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    687.56 : 1,026.90 = 622.43 : x
  2. Step 2: Convert to fraction form
    687.56/1,026.90 = 622.43/x
  3. Step 3: Cross multiply
    687.56x = 1,026.90 × 622.43
  4. Step 4: Simplify right side
    687.56x = 639,165.12
  5. Step 5: Solve for x
    x = 639,165.12/687.56
  6. Step 6: Final answer
    x = 929.61

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.