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Finding the Fourth Proportional to 1,313.59, 1,970.42 and 339.69

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Solution

The fourth proportional to 1,313.59, 1,970.42 and 339.69 is: 509.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,313.59 : 1,970.42 = 339.69 : x
  2. Step 2: Convert to fraction form
    1,313.59/1,970.42 = 339.69/x
  3. Step 3: Cross multiply
    1,313.59x = 1,970.42 × 339.69
  4. Step 4: Simplify right side
    1,313.59x = 669,330.27
  5. Step 5: Solve for x
    x = 669,330.27/1,313.59
  6. Step 6: Final answer
    x = 509.54

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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.