Home / 1,055.09-1,582.54-324.68

Finding the Fourth Proportional to 1,055.09, 1,582.54 and 324.68

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Solution

The fourth proportional to 1,055.09, 1,582.54 and 324.68 is: 486.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,055.09 : 1,582.54 = 324.68 : x
  2. Step 2: Convert to fraction form
    1,055.09/1,582.54 = 324.68/x
  3. Step 3: Cross multiply
    1,055.09x = 1,582.54 × 324.68
  4. Step 4: Simplify right side
    1,055.09x = 513,810.36
  5. Step 5: Solve for x
    x = 513,810.36/1,055.09
  6. Step 6: Final answer
    x = 486.98

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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.