Home / 1,055.08-1,582.70-505.78

Finding the Fourth Proportional to 1,055.08, 1,582.70 and 505.78

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Solution

The fourth proportional to 1,055.08, 1,582.70 and 505.78 is: 758.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,055.08 : 1,582.70 = 505.78 : x
  2. Step 2: Convert to fraction form
    1,055.08/1,582.70 = 505.78/x
  3. Step 3: Cross multiply
    1,055.08x = 1,582.70 × 505.78
  4. Step 4: Simplify right side
    1,055.08x = 800,498.01
  5. Step 5: Solve for x
    x = 800,498.01/1,055.08
  6. Step 6: Final answer
    x = 758.71

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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.