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Finding the Fourth Proportional to 1,329.69, 1,994.43 and 549.48

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Solution

The fourth proportional to 1,329.69, 1,994.43 and 549.48 is: 824.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,329.69 : 1,994.43 = 549.48 : x
  2. Step 2: Convert to fraction form
    1,329.69/1,994.43 = 549.48/x
  3. Step 3: Cross multiply
    1,329.69x = 1,994.43 × 549.48
  4. Step 4: Simplify right side
    1,329.69x = 1,095,899.40
  5. Step 5: Solve for x
    x = 1,095,899.40/1,329.69
  6. Step 6: Final answer
    x = 824.18

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.