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Finding the Fourth Proportional to 1,071.22, 1,603.71 and 659.11

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Solution

The fourth proportional to 1,071.22, 1,603.71 and 659.11 is: 986.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,071.22 : 1,603.71 = 659.11 : x
  2. Step 2: Convert to fraction form
    1,071.22/1,603.71 = 659.11/x
  3. Step 3: Cross multiply
    1,071.22x = 1,603.71 × 659.11
  4. Step 4: Simplify right side
    1,071.22x = 1,057,021.30
  5. Step 5: Solve for x
    x = 1,057,021.30/1,071.22
  6. Step 6: Final answer
    x = 986.75

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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.