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Finding the Fourth Proportional to 1,360.06, 1,878.42 and 917.19

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Solution

The fourth proportional to 1,360.06, 1,878.42 and 917.19 is: 1,266.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,360.06 : 1,878.42 = 917.19 : x
  2. Step 2: Convert to fraction form
    1,360.06/1,878.42 = 917.19/x
  3. Step 3: Cross multiply
    1,360.06x = 1,878.42 × 917.19
  4. Step 4: Simplify right side
    1,360.06x = 1,722,863.45
  5. Step 5: Solve for x
    x = 1,722,863.45/1,360.06
  6. Step 6: Final answer
    x = 1,266.76

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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.