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Finding the Fourth Proportional to 922.23, 1,270.76 and 626.99

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Solution

The fourth proportional to 922.23, 1,270.76 and 626.99 is: 863.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    922.23 : 1,270.76 = 626.99 : x
  2. Step 2: Convert to fraction form
    922.23/1,270.76 = 626.99/x
  3. Step 3: Cross multiply
    922.23x = 1,270.76 × 626.99
  4. Step 4: Simplify right side
    922.23x = 796,744.32
  5. Step 5: Solve for x
    x = 796,744.32/922.23
  6. Step 6: Final answer
    x = 863.93

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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.