Home / 1,313.14-1,969.95-435.70

Finding the Fourth Proportional to 1,313.14, 1,969.95 and 435.70

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Solution

The fourth proportional to 1,313.14, 1,969.95 and 435.70 is: 653.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,313.14 : 1,969.95 = 435.70 : x
  2. Step 2: Convert to fraction form
    1,313.14/1,969.95 = 435.70/x
  3. Step 3: Cross multiply
    1,313.14x = 1,969.95 × 435.70
  4. Step 4: Simplify right side
    1,313.14x = 858,296.37
  5. Step 5: Solve for x
    x = 858,296.37/1,313.14
  6. Step 6: Final answer
    x = 653.62

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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.