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Finding the Fourth Proportional to 1,028.05, 1,418.71 and 585.95

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Solution

The fourth proportional to 1,028.05, 1,418.71 and 585.95 is: 808.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,028.05 : 1,418.71 = 585.95 : x
  2. Step 2: Convert to fraction form
    1,028.05/1,418.71 = 585.95/x
  3. Step 3: Cross multiply
    1,028.05x = 1,418.71 × 585.95
  4. Step 4: Simplify right side
    1,028.05x = 831,295.21
  5. Step 5: Solve for x
    x = 831,295.21/1,028.05
  6. Step 6: Final answer
    x = 808.62

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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.