Home / 1,464.31-2,196.47-438.31

Finding the Fourth Proportional to 1,464.31, 2,196.47 and 438.31

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Solution

The fourth proportional to 1,464.31, 2,196.47 and 438.31 is: 657.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,464.31 : 2,196.47 = 438.31 : x
  2. Step 2: Convert to fraction form
    1,464.31/2,196.47 = 438.31/x
  3. Step 3: Cross multiply
    1,464.31x = 2,196.47 × 438.31
  4. Step 4: Simplify right side
    1,464.31x = 962,734.77
  5. Step 5: Solve for x
    x = 962,734.77/1,464.31
  6. Step 6: Final answer
    x = 657.47

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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.