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Finding the Fourth Proportional to 1,369, 2,053.50 and 343

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Solution

The fourth proportional to 1,369, 2,053.50 and 343 is: 514.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,369 : 2,053.50 = 343 : x
  2. Step 2: Convert to fraction form
    1,369/2,053.50 = 343/x
  3. Step 3: Cross multiply
    1,369x = 2,053.50 × 343
  4. Step 4: Simplify right side
    1,369x = 704,350.50
  5. Step 5: Solve for x
    x = 704,350.50/1,369
  6. Step 6: Final answer
    x = 514.50

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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.