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Finding the Fourth Proportional to 1,360.46, 1,877.48 and 771.08

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Solution

The fourth proportional to 1,360.46, 1,877.48 and 771.08 is: 1,064.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,360.46 : 1,877.48 = 771.08 : x
  2. Step 2: Convert to fraction form
    1,360.46/1,877.48 = 771.08/x
  3. Step 3: Cross multiply
    1,360.46x = 1,877.48 × 771.08
  4. Step 4: Simplify right side
    1,360.46x = 1,447,687.28
  5. Step 5: Solve for x
    x = 1,447,687.28/1,360.46
  6. Step 6: Final answer
    x = 1,064.12

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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.