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Finding the Fourth Proportional to 917.87, 1,266.84 and 623.23

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Solution

The fourth proportional to 917.87, 1,266.84 and 623.23 is: 860.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    917.87 : 1,266.84 = 623.23 : x
  2. Step 2: Convert to fraction form
    917.87/1,266.84 = 623.23/x
  3. Step 3: Cross multiply
    917.87x = 1,266.84 × 623.23
  4. Step 4: Simplify right side
    917.87x = 789,529.53
  5. Step 5: Solve for x
    x = 789,529.53/917.87
  6. Step 6: Final answer
    x = 860.18

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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.