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Finding the Fourth Proportional to 903.70, 1,353.66 and 749.26

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Solution

The fourth proportional to 903.70, 1,353.66 and 749.26 is: 1,122.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    903.70 : 1,353.66 = 749.26 : x
  2. Step 2: Convert to fraction form
    903.70/1,353.66 = 749.26/x
  3. Step 3: Cross multiply
    903.70x = 1,353.66 × 749.26
  4. Step 4: Simplify right side
    903.70x = 1,014,243.29
  5. Step 5: Solve for x
    x = 1,014,243.29/903.70
  6. Step 6: Final answer
    x = 1,122.32

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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.