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Finding the Fourth Proportional to 1,083.78, 1,492.02 and 917.73

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Solution

The fourth proportional to 1,083.78, 1,492.02 and 917.73 is: 1,263.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,083.78 : 1,492.02 = 917.73 : x
  2. Step 2: Convert to fraction form
    1,083.78/1,492.02 = 917.73/x
  3. Step 3: Cross multiply
    1,083.78x = 1,492.02 × 917.73
  4. Step 4: Simplify right side
    1,083.78x = 1,369,271.51
  5. Step 5: Solve for x
    x = 1,369,271.51/1,083.78
  6. Step 6: Final answer
    x = 1,263.42

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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.