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Finding the Fourth Proportional to 975.94, 1,346.41 and 622.24

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Solution

The fourth proportional to 975.94, 1,346.41 and 622.24 is: 858.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    975.94 : 1,346.41 = 622.24 : x
  2. Step 2: Convert to fraction form
    975.94/1,346.41 = 622.24/x
  3. Step 3: Cross multiply
    975.94x = 1,346.41 × 622.24
  4. Step 4: Simplify right side
    975.94x = 837,790.16
  5. Step 5: Solve for x
    x = 837,790.16/975.94
  6. Step 6: Final answer
    x = 858.44

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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.