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Finding the Fourth Proportional to 1,040.53, 1,558.90 and 606.37

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Solution

The fourth proportional to 1,040.53, 1,558.90 and 606.37 is: 908.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,040.53 : 1,558.90 = 606.37 : x
  2. Step 2: Convert to fraction form
    1,040.53/1,558.90 = 606.37/x
  3. Step 3: Cross multiply
    1,040.53x = 1,558.90 × 606.37
  4. Step 4: Simplify right side
    1,040.53x = 945,259.37
  5. Step 5: Solve for x
    x = 945,259.37/1,040.53
  6. Step 6: Final answer
    x = 908.44

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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.