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Finding the Fourth Proportional to 1,605.89, 2,407.37 and 618.07

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Solution

The fourth proportional to 1,605.89, 2,407.37 and 618.07 is: 926.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,605.89 : 2,407.37 = 618.07 : x
  2. Step 2: Convert to fraction form
    1,605.89/2,407.37 = 618.07/x
  3. Step 3: Cross multiply
    1,605.89x = 2,407.37 × 618.07
  4. Step 4: Simplify right side
    1,605.89x = 1,487,917.46
  5. Step 5: Solve for x
    x = 1,487,917.46/1,605.89
  6. Step 6: Final answer
    x = 926.54

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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.