Home / 1,354.09-2,031.14-328.09

Finding the Fourth Proportional to 1,354.09, 2,031.14 and 328.09

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Solution

The fourth proportional to 1,354.09, 2,031.14 and 328.09 is: 492.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,354.09 : 2,031.14 = 328.09 : x
  2. Step 2: Convert to fraction form
    1,354.09/2,031.14 = 328.09/x
  3. Step 3: Cross multiply
    1,354.09x = 2,031.14 × 328.09
  4. Step 4: Simplify right side
    1,354.09x = 666,396.72
  5. Step 5: Solve for x
    x = 666,396.72/1,354.09
  6. Step 6: Final answer
    x = 492.14

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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.