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Finding the Fourth Proportional to 922.23, 1,271.41 and 626.98

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Solution

The fourth proportional to 922.23, 1,271.41 and 626.98 is: 864.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    922.23 : 1,271.41 = 626.98 : x
  2. Step 2: Convert to fraction form
    922.23/1,271.41 = 626.98/x
  3. Step 3: Cross multiply
    922.23x = 1,271.41 × 626.98
  4. Step 4: Simplify right side
    922.23x = 797,148.64
  5. Step 5: Solve for x
    x = 797,148.64/922.23
  6. Step 6: Final answer
    x = 864.37

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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.