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Finding the Fourth Proportional to 688.06, 1,027.64 and 622.93

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Solution

The fourth proportional to 688.06, 1,027.64 and 622.93 is: 930.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    688.06 : 1,027.64 = 622.93 : x
  2. Step 2: Convert to fraction form
    688.06/1,027.64 = 622.93/x
  3. Step 3: Cross multiply
    688.06x = 1,027.64 × 622.93
  4. Step 4: Simplify right side
    688.06x = 640,142.65
  5. Step 5: Solve for x
    x = 640,142.65/688.06
  6. Step 6: Final answer
    x = 930.36

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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.