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Finding the Fourth Proportional to 1,329.83, 1,835.03 and 770.48

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Solution

The fourth proportional to 1,329.83, 1,835.03 and 770.48 is: 1,063.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,329.83 : 1,835.03 = 770.48 : x
  2. Step 2: Convert to fraction form
    1,329.83/1,835.03 = 770.48/x
  3. Step 3: Cross multiply
    1,329.83x = 1,835.03 × 770.48
  4. Step 4: Simplify right side
    1,329.83x = 1,413,855.25
  5. Step 5: Solve for x
    x = 1,413,855.25/1,329.83
  6. Step 6: Final answer
    x = 1,063.19

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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.