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Finding the Fourth Proportional to 1,074.50, 1,610.60 and 704.17

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Solution

The fourth proportional to 1,074.50, 1,610.60 and 704.17 is: 1,055.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,074.50 : 1,610.60 = 704.17 : x
  2. Step 2: Convert to fraction form
    1,074.50/1,610.60 = 704.17/x
  3. Step 3: Cross multiply
    1,074.50x = 1,610.60 × 704.17
  4. Step 4: Simplify right side
    1,074.50x = 1,134,139.36
  5. Step 5: Solve for x
    x = 1,134,139.36/1,074.50
  6. Step 6: Final answer
    x = 1,055.50

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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.