Home / 1,055.06-1,582.39-285.38

Finding the Fourth Proportional to 1,055.06, 1,582.39 and 285.38

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Solution

The fourth proportional to 1,055.06, 1,582.39 and 285.38 is: 428.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,055.06 : 1,582.39 = 285.38 : x
  2. Step 2: Convert to fraction form
    1,055.06/1,582.39 = 285.38/x
  3. Step 3: Cross multiply
    1,055.06x = 1,582.39 × 285.38
  4. Step 4: Simplify right side
    1,055.06x = 451,582.46
  5. Step 5: Solve for x
    x = 451,582.46/1,055.06
  6. Step 6: Final answer
    x = 428.02

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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.