Home / 1,055.14-1,582.32-438.56

Finding the Fourth Proportional to 1,055.14, 1,582.32 and 438.56

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Solution

The fourth proportional to 1,055.14, 1,582.32 and 438.56 is: 657.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,055.14 : 1,582.32 = 438.56 : x
  2. Step 2: Convert to fraction form
    1,055.14/1,582.32 = 438.56/x
  3. Step 3: Cross multiply
    1,055.14x = 1,582.32 × 438.56
  4. Step 4: Simplify right side
    1,055.14x = 693,942.26
  5. Step 5: Solve for x
    x = 693,942.26/1,055.14
  6. Step 6: Final answer
    x = 657.68

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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.