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Finding the Fourth Proportional to 1,316.29, 1,974.30 and 622.75

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Solution

The fourth proportional to 1,316.29, 1,974.30 and 622.75 is: 934.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,316.29 : 1,974.30 = 622.75 : x
  2. Step 2: Convert to fraction form
    1,316.29/1,974.30 = 622.75/x
  3. Step 3: Cross multiply
    1,316.29x = 1,974.30 × 622.75
  4. Step 4: Simplify right side
    1,316.29x = 1,229,495.33
  5. Step 5: Solve for x
    x = 1,229,495.33/1,316.29
  6. Step 6: Final answer
    x = 934.06

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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.