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Finding the Fourth Proportional to 920.31, 1,268.57 and 625.07

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Solution

The fourth proportional to 920.31, 1,268.57 and 625.07 is: 861.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    920.31 : 1,268.57 = 625.07 : x
  2. Step 2: Convert to fraction form
    920.31/1,268.57 = 625.07/x
  3. Step 3: Cross multiply
    920.31x = 1,268.57 × 625.07
  4. Step 4: Simplify right side
    920.31x = 792,935.58
  5. Step 5: Solve for x
    x = 792,935.58/920.31
  6. Step 6: Final answer
    x = 861.60

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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.