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Finding the Fourth Proportional to 1,605.54, 2,214.93 and 1,015.95

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Solution

The fourth proportional to 1,605.54, 2,214.93 and 1,015.95 is: 1,401.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,605.54 : 2,214.93 = 1,015.95 : x
  2. Step 2: Convert to fraction form
    1,605.54/2,214.93 = 1,015.95/x
  3. Step 3: Cross multiply
    1,605.54x = 2,214.93 × 1,015.95
  4. Step 4: Simplify right side
    1,605.54x = 2,250,258.13
  5. Step 5: Solve for x
    x = 2,250,258.13/1,605.54
  6. Step 6: Final answer
    x = 1,401.56

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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.