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Finding the Fourth Proportional to 1,365.79, 2,048.68 and 339.79

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Solution

The fourth proportional to 1,365.79, 2,048.68 and 339.79 is: 509.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,365.79 : 2,048.68 = 339.79 : x
  2. Step 2: Convert to fraction form
    1,365.79/2,048.68 = 339.79/x
  3. Step 3: Cross multiply
    1,365.79x = 2,048.68 × 339.79
  4. Step 4: Simplify right side
    1,365.79x = 696,120.98
  5. Step 5: Solve for x
    x = 696,120.98/1,365.79
  6. Step 6: Final answer
    x = 509.68

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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.