Home / 1,055.43-1,582.97-285.75

Finding the Fourth Proportional to 1,055.43, 1,582.97 and 285.75

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Solution

The fourth proportional to 1,055.43, 1,582.97 and 285.75 is: 428.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,055.43 : 1,582.97 = 285.75 : x
  2. Step 2: Convert to fraction form
    1,055.43/1,582.97 = 285.75/x
  3. Step 3: Cross multiply
    1,055.43x = 1,582.97 × 285.75
  4. Step 4: Simplify right side
    1,055.43x = 452,332.25
  5. Step 5: Solve for x
    x = 452,332.25/1,055.43
  6. Step 6: Final answer
    x = 428.58

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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.