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Finding the Fourth Proportional to 906.88, 1,252.05 and 627.01

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Solution

The fourth proportional to 906.88, 1,252.05 and 627.01 is: 865.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    906.88 : 1,252.05 = 627.01 : x
  2. Step 2: Convert to fraction form
    906.88/1,252.05 = 627.01/x
  3. Step 3: Cross multiply
    906.88x = 1,252.05 × 627.01
  4. Step 4: Simplify right side
    906.88x = 785,047.87
  5. Step 5: Solve for x
    x = 785,047.87/906.88
  6. Step 6: Final answer
    x = 865.66

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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.