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Finding the Fourth Proportional to 1,028.95, 1,419.90 and 580.81

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Solution

The fourth proportional to 1,028.95, 1,419.90 and 580.81 is: 801.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,028.95 : 1,419.90 = 580.81 : x
  2. Step 2: Convert to fraction form
    1,028.95/1,419.90 = 580.81/x
  3. Step 3: Cross multiply
    1,028.95x = 1,419.90 × 580.81
  4. Step 4: Simplify right side
    1,028.95x = 824,692.12
  5. Step 5: Solve for x
    x = 824,692.12/1,028.95
  6. Step 6: Final answer
    x = 801.49

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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.