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Finding the Fourth Proportional to 918.25, 1,266.67 and 544.86

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Solution

The fourth proportional to 918.25, 1,266.67 and 544.86 is: 751.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    918.25 : 1,266.67 = 544.86 : x
  2. Step 2: Convert to fraction form
    918.25/1,266.67 = 544.86/x
  3. Step 3: Cross multiply
    918.25x = 1,266.67 × 544.86
  4. Step 4: Simplify right side
    918.25x = 690,157.82
  5. Step 5: Solve for x
    x = 690,157.82/918.25
  6. Step 6: Final answer
    x = 751.60

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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.