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Finding the Fourth Proportional to 1,266.44, 1,898.30 and 607.91

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Solution

The fourth proportional to 1,266.44, 1,898.30 and 607.91 is: 911.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,266.44 : 1,898.30 = 607.91 : x
  2. Step 2: Convert to fraction form
    1,266.44/1,898.30 = 607.91/x
  3. Step 3: Cross multiply
    1,266.44x = 1,898.30 × 607.91
  4. Step 4: Simplify right side
    1,266.44x = 1,153,987.58
  5. Step 5: Solve for x
    x = 1,153,987.58/1,266.44
  6. Step 6: Final answer
    x = 911.21

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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.