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Finding the Fourth Proportional to 1,398.43, 1,929.43 and 901.24

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Solution

The fourth proportional to 1,398.43, 1,929.43 and 901.24 is: 1,243.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,398.43 : 1,929.43 = 901.24 : x
  2. Step 2: Convert to fraction form
    1,398.43/1,929.43 = 901.24/x
  3. Step 3: Cross multiply
    1,398.43x = 1,929.43 × 901.24
  4. Step 4: Simplify right side
    1,398.43x = 1,738,879.49
  5. Step 5: Solve for x
    x = 1,738,879.49/1,398.43
  6. Step 6: Final answer
    x = 1,243.45

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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.