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Finding the Fourth Proportional to 1,078.88, 1,617.44 and 1,017.77

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Solution

The fourth proportional to 1,078.88, 1,617.44 and 1,017.77 is: 1,525.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,078.88 : 1,617.44 = 1,017.77 : x
  2. Step 2: Convert to fraction form
    1,078.88/1,617.44 = 1,017.77/x
  3. Step 3: Cross multiply
    1,078.88x = 1,617.44 × 1,017.77
  4. Step 4: Simplify right side
    1,078.88x = 1,646,181.91
  5. Step 5: Solve for x
    x = 1,646,181.91/1,078.88
  6. Step 6: Final answer
    x = 1,525.82

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.