Home / 1,055.20-1,582.80-406.39

Finding the Fourth Proportional to 1,055.20, 1,582.80 and 406.39

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Solution

The fourth proportional to 1,055.20, 1,582.80 and 406.39 is: 609.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,055.20 : 1,582.80 = 406.39 : x
  2. Step 2: Convert to fraction form
    1,055.20/1,582.80 = 406.39/x
  3. Step 3: Cross multiply
    1,055.20x = 1,582.80 × 406.39
  4. Step 4: Simplify right side
    1,055.20x = 643,234.09
  5. Step 5: Solve for x
    x = 643,234.09/1,055.20
  6. Step 6: Final answer
    x = 609.59

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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.