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Finding the Fourth Proportional to 1,028.98, 1,419.90 and 586.81

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Solution

The fourth proportional to 1,028.98, 1,419.90 and 586.81 is: 809.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,028.98 : 1,419.90 = 586.81 : x
  2. Step 2: Convert to fraction form
    1,028.98/1,419.90 = 586.81/x
  3. Step 3: Cross multiply
    1,028.98x = 1,419.90 × 586.81
  4. Step 4: Simplify right side
    1,028.98x = 833,211.52
  5. Step 5: Solve for x
    x = 833,211.52/1,028.98
  6. Step 6: Final answer
    x = 809.75

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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.