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Finding the Fourth Proportional to 1,020.48, 1,408.20 and 606.48

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Solution

The fourth proportional to 1,020.48, 1,408.20 and 606.48 is: 836.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,020.48 : 1,408.20 = 606.48 : x
  2. Step 2: Convert to fraction form
    1,020.48/1,408.20 = 606.48/x
  3. Step 3: Cross multiply
    1,020.48x = 1,408.20 × 606.48
  4. Step 4: Simplify right side
    1,020.48x = 854,045.14
  5. Step 5: Solve for x
    x = 854,045.14/1,020.48
  6. Step 6: Final answer
    x = 836.91

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.