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Finding the Fourth Proportional to 1,398.25, 1,930.80 and 1,050.76

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Solution

The fourth proportional to 1,398.25, 1,930.80 and 1,050.76 is: 1,450.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,398.25 : 1,930.80 = 1,050.76 : x
  2. Step 2: Convert to fraction form
    1,398.25/1,930.80 = 1,050.76/x
  3. Step 3: Cross multiply
    1,398.25x = 1,930.80 × 1,050.76
  4. Step 4: Simplify right side
    1,398.25x = 2,028,807.41
  5. Step 5: Solve for x
    x = 2,028,807.41/1,398.25
  6. Step 6: Final answer
    x = 1,450.96

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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.