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Finding the Fourth Proportional to 1,360.94, 1,878.08 and 771.48

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Solution

The fourth proportional to 1,360.94, 1,878.08 and 771.48 is: 1,064.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,360.94 : 1,878.08 = 771.48 : x
  2. Step 2: Convert to fraction form
    1,360.94/1,878.08 = 771.48/x
  3. Step 3: Cross multiply
    1,360.94x = 1,878.08 × 771.48
  4. Step 4: Simplify right side
    1,360.94x = 1,448,897.30
  5. Step 5: Solve for x
    x = 1,448,897.30/1,360.94
  6. Step 6: Final answer
    x = 1,064.63

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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.