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Finding the Fourth Proportional to 844.55, 1,264.37 and 601.55

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Solution

The fourth proportional to 844.55, 1,264.37 and 601.55 is: 900.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    844.55 : 1,264.37 = 601.55 : x
  2. Step 2: Convert to fraction form
    844.55/1,264.37 = 601.55/x
  3. Step 3: Cross multiply
    844.55x = 1,264.37 × 601.55
  4. Step 4: Simplify right side
    844.55x = 760,578.77
  5. Step 5: Solve for x
    x = 760,578.77/844.55
  6. Step 6: Final answer
    x = 900.57

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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.