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Finding the Fourth Proportional to 921.20, 1,270.76 and 626.36

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Solution

The fourth proportional to 921.20, 1,270.76 and 626.36 is: 864.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    921.20 : 1,270.76 = 626.36 : x
  2. Step 2: Convert to fraction form
    921.20/1,270.76 = 626.36/x
  3. Step 3: Cross multiply
    921.20x = 1,270.76 × 626.36
  4. Step 4: Simplify right side
    921.20x = 795,943.75
  5. Step 5: Solve for x
    x = 795,943.75/921.20
  6. Step 6: Final answer
    x = 864.03

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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.