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Finding the Fourth Proportional to 1,124.22, 1,551.99 and 704.81

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Solution

The fourth proportional to 1,124.22, 1,551.99 and 704.81 is: 972.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,124.22 : 1,551.99 = 704.81 : x
  2. Step 2: Convert to fraction form
    1,124.22/1,551.99 = 704.81/x
  3. Step 3: Cross multiply
    1,124.22x = 1,551.99 × 704.81
  4. Step 4: Simplify right side
    1,124.22x = 1,093,858.07
  5. Step 5: Solve for x
    x = 1,093,858.07/1,124.22
  6. Step 6: Final answer
    x = 972.99

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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.