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Finding the Fourth Proportional to 1,054.47, 1,581.93 and 438.31

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Solution

The fourth proportional to 1,054.47, 1,581.93 and 438.31 is: 657.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,054.47 : 1,581.93 = 438.31 : x
  2. Step 2: Convert to fraction form
    1,054.47/1,581.93 = 438.31/x
  3. Step 3: Cross multiply
    1,054.47x = 1,581.93 × 438.31
  4. Step 4: Simplify right side
    1,054.47x = 693,377.72
  5. Step 5: Solve for x
    x = 693,377.72/1,054.47
  6. Step 6: Final answer
    x = 657.56

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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.