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Finding the Fourth Proportional to 1,054.25, 1,580.75 and 438.41

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Solution

The fourth proportional to 1,054.25, 1,580.75 and 438.41 is: 657.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,054.25 : 1,580.75 = 438.41 : x
  2. Step 2: Convert to fraction form
    1,054.25/1,580.75 = 438.41/x
  3. Step 3: Cross multiply
    1,054.25x = 1,580.75 × 438.41
  4. Step 4: Simplify right side
    1,054.25x = 693,020.01
  5. Step 5: Solve for x
    x = 693,020.01/1,054.25
  6. Step 6: Final answer
    x = 657.36

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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.