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Finding the Fourth Proportional to 917.24, 1,266.54 and 623.48

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Solution

The fourth proportional to 917.24, 1,266.54 and 623.48 is: 860.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    917.24 : 1,266.54 = 623.48 : x
  2. Step 2: Convert to fraction form
    917.24/1,266.54 = 623.48/x
  3. Step 3: Cross multiply
    917.24x = 1,266.54 × 623.48
  4. Step 4: Simplify right side
    917.24x = 789,662.36
  5. Step 5: Solve for x
    x = 789,662.36/917.24
  6. Step 6: Final answer
    x = 860.91

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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.