Home / 1,055.11-1,582.67-324.74

Finding the Fourth Proportional to 1,055.11, 1,582.67 and 324.74

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Solution

The fourth proportional to 1,055.11, 1,582.67 and 324.74 is: 487.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,055.11 : 1,582.67 = 324.74 : x
  2. Step 2: Convert to fraction form
    1,055.11/1,582.67 = 324.74/x
  3. Step 3: Cross multiply
    1,055.11x = 1,582.67 × 324.74
  4. Step 4: Simplify right side
    1,055.11x = 513,961.02
  5. Step 5: Solve for x
    x = 513,961.02/1,055.11
  6. Step 6: Final answer
    x = 487.12

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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.