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Finding the Fourth Proportional to 1,313.16, 1,969.68 and 339.24

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Solution

The fourth proportional to 1,313.16, 1,969.68 and 339.24 is: 508.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,313.16 : 1,969.68 = 339.24 : x
  2. Step 2: Convert to fraction form
    1,313.16/1,969.68 = 339.24/x
  3. Step 3: Cross multiply
    1,313.16x = 1,969.68 × 339.24
  4. Step 4: Simplify right side
    1,313.16x = 668,194.24
  5. Step 5: Solve for x
    x = 668,194.24/1,313.16
  6. Step 6: Final answer
    x = 508.84

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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.