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Finding the Fourth Proportional to 1,020.82, 1,408.60 and 647.14

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Solution

The fourth proportional to 1,020.82, 1,408.60 and 647.14 is: 892.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,020.82 : 1,408.60 = 647.14 : x
  2. Step 2: Convert to fraction form
    1,020.82/1,408.60 = 647.14/x
  3. Step 3: Cross multiply
    1,020.82x = 1,408.60 × 647.14
  4. Step 4: Simplify right side
    1,020.82x = 911,561.40
  5. Step 5: Solve for x
    x = 911,561.40/1,020.82
  6. Step 6: Final answer
    x = 892.97

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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.