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Finding the Fourth Proportional to 688.01, 1,027.16 and 623.41

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Solution

The fourth proportional to 688.01, 1,027.16 and 623.41 is: 930.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    688.01 : 1,027.16 = 623.41 : x
  2. Step 2: Convert to fraction form
    688.01/1,027.16 = 623.41/x
  3. Step 3: Cross multiply
    688.01x = 1,027.16 × 623.41
  4. Step 4: Simplify right side
    688.01x = 640,338.47
  5. Step 5: Solve for x
    x = 640,338.47/688.01
  6. Step 6: Final answer
    x = 930.72

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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.