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Finding the Fourth Proportional to 1,021.34, 1,408.87 and 628.28

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Solution

The fourth proportional to 1,021.34, 1,408.87 and 628.28 is: 866.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,021.34 : 1,408.87 = 628.28 : x
  2. Step 2: Convert to fraction form
    1,021.34/1,408.87 = 628.28/x
  3. Step 3: Cross multiply
    1,021.34x = 1,408.87 × 628.28
  4. Step 4: Simplify right side
    1,021.34x = 885,169.15
  5. Step 5: Solve for x
    x = 885,169.15/1,021.34
  6. Step 6: Final answer
    x = 866.68

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1.5x scale

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.