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Finding the Fourth Proportional to 1,329.84, 1,835.22 and 770.31

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Solution

The fourth proportional to 1,329.84, 1,835.22 and 770.31 is: 1,063.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,329.84 : 1,835.22 = 770.31 : x
  2. Step 2: Convert to fraction form
    1,329.84/1,835.22 = 770.31/x
  3. Step 3: Cross multiply
    1,329.84x = 1,835.22 × 770.31
  4. Step 4: Simplify right side
    1,329.84x = 1,413,688.32
  5. Step 5: Solve for x
    x = 1,413,688.32/1,329.84
  6. Step 6: Final answer
    x = 1,063.05

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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.