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Finding the Fourth Proportional to 854.87, 1,282.98 and 623.87

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Solution

The fourth proportional to 854.87, 1,282.98 and 623.87 is: 936.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    854.87 : 1,282.98 = 623.87 : x
  2. Step 2: Convert to fraction form
    854.87/1,282.98 = 623.87/x
  3. Step 3: Cross multiply
    854.87x = 1,282.98 × 623.87
  4. Step 4: Simplify right side
    854.87x = 800,406.32
  5. Step 5: Solve for x
    x = 800,406.32/854.87
  6. Step 6: Final answer
    x = 936.30

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.