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Finding the Fourth Proportional to 1,016.87, 1,403.30 and 623.75

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Solution

The fourth proportional to 1,016.87, 1,403.30 and 623.75 is: 860.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,016.87 : 1,403.30 = 623.75 : x
  2. Step 2: Convert to fraction form
    1,016.87/1,403.30 = 623.75/x
  3. Step 3: Cross multiply
    1,016.87x = 1,403.30 × 623.75
  4. Step 4: Simplify right side
    1,016.87x = 875,308.38
  5. Step 5: Solve for x
    x = 875,308.38/1,016.87
  6. Step 6: Final answer
    x = 860.79

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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.