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Finding the Fourth Proportional to 1,298.29, 1,947.43 and 324.39

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Solution

The fourth proportional to 1,298.29, 1,947.43 and 324.39 is: 486.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,298.29 : 1,947.43 = 324.39 : x
  2. Step 2: Convert to fraction form
    1,298.29/1,947.43 = 324.39/x
  3. Step 3: Cross multiply
    1,298.29x = 1,947.43 × 324.39
  4. Step 4: Simplify right side
    1,298.29x = 631,726.82
  5. Step 5: Solve for x
    x = 631,726.82/1,298.29
  6. Step 6: Final answer
    x = 486.58

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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.