Home / 1,054.22-1,580.58-323.40

Finding the Fourth Proportional to 1,054.22, 1,580.58 and 323.40

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Solution

The fourth proportional to 1,054.22, 1,580.58 and 323.40 is: 484.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,054.22 : 1,580.58 = 323.40 : x
  2. Step 2: Convert to fraction form
    1,054.22/1,580.58 = 323.40/x
  3. Step 3: Cross multiply
    1,054.22x = 1,580.58 × 323.40
  4. Step 4: Simplify right side
    1,054.22x = 511,159.57
  5. Step 5: Solve for x
    x = 511,159.57/1,054.22
  6. Step 6: Final answer
    x = 484.87

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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.