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Finding the Fourth Proportional to 1,028.71, 1,419.60 and 586.55

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Solution

The fourth proportional to 1,028.71, 1,419.60 and 586.55 is: 809.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,028.71 : 1,419.60 = 586.55 : x
  2. Step 2: Convert to fraction form
    1,028.71/1,419.60 = 586.55/x
  3. Step 3: Cross multiply
    1,028.71x = 1,419.60 × 586.55
  4. Step 4: Simplify right side
    1,028.71x = 832,669.93
  5. Step 5: Solve for x
    x = 832,669.93/1,028.71
  6. Step 6: Final answer
    x = 809.43

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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.