Home / 1,356.21-2,034.63-431.64

Finding the Fourth Proportional to 1,356.21, 2,034.63 and 431.64

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Solution

The fourth proportional to 1,356.21, 2,034.63 and 431.64 is: 647.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,356.21 : 2,034.63 = 431.64 : x
  2. Step 2: Convert to fraction form
    1,356.21/2,034.63 = 431.64/x
  3. Step 3: Cross multiply
    1,356.21x = 2,034.63 × 431.64
  4. Step 4: Simplify right side
    1,356.21x = 878,227.69
  5. Step 5: Solve for x
    x = 878,227.69/1,356.21
  6. Step 6: Final answer
    x = 647.56

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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.