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Finding the Fourth Proportional to 1,316.29, 1,974 and 622.59

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Solution

The fourth proportional to 1,316.29, 1,974 and 622.59 is: 933.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,316.29 : 1,974 = 622.59 : x
  2. Step 2: Convert to fraction form
    1,316.29/1,974 = 622.59/x
  3. Step 3: Cross multiply
    1,316.29x = 1,974 × 622.59
  4. Step 4: Simplify right side
    1,316.29x = 1,228,992.66
  5. Step 5: Solve for x
    x = 1,228,992.66/1,316.29
  6. Step 6: Final answer
    x = 933.68

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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.