Home / 1,020.35-1,408.08-554.60

Finding the Fourth Proportional to 1,020.35, 1,408.08 and 554.60

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Solution

The fourth proportional to 1,020.35, 1,408.08 and 554.60 is: 765.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,020.35 : 1,408.08 = 554.60 : x
  2. Step 2: Convert to fraction form
    1,020.35/1,408.08 = 554.60/x
  3. Step 3: Cross multiply
    1,020.35x = 1,408.08 × 554.60
  4. Step 4: Simplify right side
    1,020.35x = 780,924.69
  5. Step 5: Solve for x
    x = 780,924.69/1,020.35
  6. Step 6: Final answer
    x = 765.35

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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.