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Finding the Fourth Proportional to 1,313.54, 1,970.31 and 339.56

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Solution

The fourth proportional to 1,313.54, 1,970.31 and 339.56 is: 509.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,313.54 : 1,970.31 = 339.56 : x
  2. Step 2: Convert to fraction form
    1,313.54/1,970.31 = 339.56/x
  3. Step 3: Cross multiply
    1,313.54x = 1,970.31 × 339.56
  4. Step 4: Simplify right side
    1,313.54x = 669,042.12
  5. Step 5: Solve for x
    x = 669,042.12/1,313.54
  6. Step 6: Final answer
    x = 509.34

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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.