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Finding the Fourth Proportional to 1,025.42, 1,415.08 and 605.78

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Solution

The fourth proportional to 1,025.42, 1,415.08 and 605.78 is: 835.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,025.42 : 1,415.08 = 605.78 : x
  2. Step 2: Convert to fraction form
    1,025.42/1,415.08 = 605.78/x
  3. Step 3: Cross multiply
    1,025.42x = 1,415.08 × 605.78
  4. Step 4: Simplify right side
    1,025.42x = 857,227.16
  5. Step 5: Solve for x
    x = 857,227.16/1,025.42
  6. Step 6: Final answer
    x = 835.98

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.