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Finding the Fourth Proportional to 1,360.52, 1,877.49 and 771.06

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Solution

The fourth proportional to 1,360.52, 1,877.49 and 771.06 is: 1,064.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,360.52 : 1,877.49 = 771.06 : x
  2. Step 2: Convert to fraction form
    1,360.52/1,877.49 = 771.06/x
  3. Step 3: Cross multiply
    1,360.52x = 1,877.49 × 771.06
  4. Step 4: Simplify right side
    1,360.52x = 1,447,657.44
  5. Step 5: Solve for x
    x = 1,447,657.44/1,360.52
  6. Step 6: Final answer
    x = 1,064.05

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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.