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Finding the Fourth Proportional to 1,021.56, 1,408.08 and 685.35

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Solution

The fourth proportional to 1,021.56, 1,408.08 and 685.35 is: 944.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,021.56 : 1,408.08 = 685.35 : x
  2. Step 2: Convert to fraction form
    1,021.56/1,408.08 = 685.35/x
  3. Step 3: Cross multiply
    1,021.56x = 1,408.08 × 685.35
  4. Step 4: Simplify right side
    1,021.56x = 965,027.63
  5. Step 5: Solve for x
    x = 965,027.63/1,021.56
  6. Step 6: Final answer
    x = 944.66

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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.