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Finding the Fourth Proportional to 1,071.90, 1,605.15 and 704.70

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Solution

The fourth proportional to 1,071.90, 1,605.15 and 704.70 is: 1,055.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,071.90 : 1,605.15 = 704.70 : x
  2. Step 2: Convert to fraction form
    1,071.90/1,605.15 = 704.70/x
  3. Step 3: Cross multiply
    1,071.90x = 1,605.15 × 704.70
  4. Step 4: Simplify right side
    1,071.90x = 1,131,149.21
  5. Step 5: Solve for x
    x = 1,131,149.21/1,071.90
  6. Step 6: Final answer
    x = 1,055.27

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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.