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Finding the Fourth Proportional to 1,335.15, 1,990.98 and 1,228.77

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Solution

The fourth proportional to 1,335.15, 1,990.98 and 1,228.77 is: 1,832.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,335.15 : 1,990.98 = 1,228.77 : x
  2. Step 2: Convert to fraction form
    1,335.15/1,990.98 = 1,228.77/x
  3. Step 3: Cross multiply
    1,335.15x = 1,990.98 × 1,228.77
  4. Step 4: Simplify right side
    1,335.15x = 2,446,456.49
  5. Step 5: Solve for x
    x = 2,446,456.49/1,335.15
  6. Step 6: Final answer
    x = 1,832.35

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.