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Finding the Fourth Proportional to 1,397.29, 2,095.94 and 626.89

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Solution

The fourth proportional to 1,397.29, 2,095.94 and 626.89 is: 940.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,397.29 : 2,095.94 = 626.89 : x
  2. Step 2: Convert to fraction form
    1,397.29/2,095.94 = 626.89/x
  3. Step 3: Cross multiply
    1,397.29x = 2,095.94 × 626.89
  4. Step 4: Simplify right side
    1,397.29x = 1,313,923.83
  5. Step 5: Solve for x
    x = 1,313,923.83/1,397.29
  6. Step 6: Final answer
    x = 940.34

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.