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Finding the Fourth Proportional to 1,020.38, 1,408.13 and 554.63

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Solution

The fourth proportional to 1,020.38, 1,408.13 and 554.63 is: 765.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,020.38 : 1,408.13 = 554.63 : x
  2. Step 2: Convert to fraction form
    1,020.38/1,408.13 = 554.63/x
  3. Step 3: Cross multiply
    1,020.38x = 1,408.13 × 554.63
  4. Step 4: Simplify right side
    1,020.38x = 780,981.33
  5. Step 5: Solve for x
    x = 780,981.33/1,020.38
  6. Step 6: Final answer
    x = 765.39

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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.