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Finding the Fourth Proportional to 1,389.44, 1,916.52 and 917.11

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Solution

The fourth proportional to 1,389.44, 1,916.52 and 917.11 is: 1,265.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,389.44 : 1,916.52 = 917.11 : x
  2. Step 2: Convert to fraction form
    1,389.44/1,916.52 = 917.11/x
  3. Step 3: Cross multiply
    1,389.44x = 1,916.52 × 917.11
  4. Step 4: Simplify right side
    1,389.44x = 1,757,659.66
  5. Step 5: Solve for x
    x = 1,757,659.66/1,389.44
  6. Step 6: Final answer
    x = 1,265.01

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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.