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Finding the Fourth Proportional to 1,445.34, 1,994.63 and 855.77

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Solution

The fourth proportional to 1,445.34, 1,994.63 and 855.77 is: 1,180.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,445.34 : 1,994.63 = 855.77 : x
  2. Step 2: Convert to fraction form
    1,445.34/1,994.63 = 855.77/x
  3. Step 3: Cross multiply
    1,445.34x = 1,994.63 × 855.77
  4. Step 4: Simplify right side
    1,445.34x = 1,706,930.26
  5. Step 5: Solve for x
    x = 1,706,930.26/1,445.34
  6. Step 6: Final answer
    x = 1,180.99

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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.