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Finding the Fourth Proportional to 922.13, 1,270.55 and 626.88

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Solution

The fourth proportional to 922.13, 1,270.55 and 626.88 is: 863.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    922.13 : 1,270.55 = 626.88 : x
  2. Step 2: Convert to fraction form
    922.13/1,270.55 = 626.88/x
  3. Step 3: Cross multiply
    922.13x = 1,270.55 × 626.88
  4. Step 4: Simplify right side
    922.13x = 796,479.25
  5. Step 5: Solve for x
    x = 796,479.25/922.13
  6. Step 6: Final answer
    x = 863.74

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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.