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Finding the Fourth Proportional to 1,313.35, 1,969.86 and 339.41

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Solution

The fourth proportional to 1,313.35, 1,969.86 and 339.41 is: 509.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,313.35 : 1,969.86 = 339.41 : x
  2. Step 2: Convert to fraction form
    1,313.35/1,969.86 = 339.41/x
  3. Step 3: Cross multiply
    1,313.35x = 1,969.86 × 339.41
  4. Step 4: Simplify right side
    1,313.35x = 668,590.18
  5. Step 5: Solve for x
    x = 668,590.18/1,313.35
  6. Step 6: Final answer
    x = 509.07

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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.