Home / 1,271.50-1,905.91-491.29

Finding the Fourth Proportional to 1,271.50, 1,905.91 and 491.29

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Solution

The fourth proportional to 1,271.50, 1,905.91 and 491.29 is: 736.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,271.50 : 1,905.91 = 491.29 : x
  2. Step 2: Convert to fraction form
    1,271.50/1,905.91 = 491.29/x
  3. Step 3: Cross multiply
    1,271.50x = 1,905.91 × 491.29
  4. Step 4: Simplify right side
    1,271.50x = 936,348.53
  5. Step 5: Solve for x
    x = 936,348.53/1,271.50
  6. Step 6: Final answer
    x = 736.41

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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.