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Finding the Fourth Proportional to 704.22, 972.24 and 626.37

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Solution

The fourth proportional to 704.22, 972.24 and 626.37 is: 864.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    704.22 : 972.24 = 626.37 : x
  2. Step 2: Convert to fraction form
    704.22/972.24 = 626.37/x
  3. Step 3: Cross multiply
    704.22x = 972.24 × 626.37
  4. Step 4: Simplify right side
    704.22x = 608,981.97
  5. Step 5: Solve for x
    x = 608,981.97/704.22
  6. Step 6: Final answer
    x = 864.76

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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.