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Finding the Fourth Proportional to 1,605.44, 2,406.53 and 618.05

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Solution

The fourth proportional to 1,605.44, 2,406.53 and 618.05 is: 926.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,605.44 : 2,406.53 = 618.05 : x
  2. Step 2: Convert to fraction form
    1,605.44/2,406.53 = 618.05/x
  3. Step 3: Cross multiply
    1,605.44x = 2,406.53 × 618.05
  4. Step 4: Simplify right side
    1,605.44x = 1,487,363.43
  5. Step 5: Solve for x
    x = 1,487,363.43/1,605.44
  6. Step 6: Final answer
    x = 926.45

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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.