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Finding the Fourth Proportional to 1,605.51, 2,408.34 and 552.05

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Solution

The fourth proportional to 1,605.51, 2,408.34 and 552.05 is: 828.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,605.51 : 2,408.34 = 552.05 : x
  2. Step 2: Convert to fraction form
    1,605.51/2,408.34 = 552.05/x
  3. Step 3: Cross multiply
    1,605.51x = 2,408.34 × 552.05
  4. Step 4: Simplify right side
    1,605.51x = 1,329,522.03
  5. Step 5: Solve for x
    x = 1,329,522.03/1,605.51
  6. Step 6: Final answer
    x = 828.10

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.