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Finding the Fourth Proportional to 975.55, 1,346.39 and 550.26

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Solution

The fourth proportional to 975.55, 1,346.39 and 550.26 is: 759.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    975.55 : 1,346.39 = 550.26 : x
  2. Step 2: Convert to fraction form
    975.55/1,346.39 = 550.26/x
  3. Step 3: Cross multiply
    975.55x = 1,346.39 × 550.26
  4. Step 4: Simplify right side
    975.55x = 740,864.57
  5. Step 5: Solve for x
    x = 740,864.57/975.55
  6. Step 6: Final answer
    x = 759.43

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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.