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Finding the Fourth Proportional to 1,419.98, 1,959.78 and 852.85

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Solution

The fourth proportional to 1,419.98, 1,959.78 and 852.85 is: 1,177.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,419.98 : 1,959.78 = 852.85 : x
  2. Step 2: Convert to fraction form
    1,419.98/1,959.78 = 852.85/x
  3. Step 3: Cross multiply
    1,419.98x = 1,959.78 × 852.85
  4. Step 4: Simplify right side
    1,419.98x = 1,671,394.11
  5. Step 5: Solve for x
    x = 1,671,394.11/1,419.98
  6. Step 6: Final answer
    x = 1,177.06

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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.