Home / 628.22-943.40-409.22

Finding the Fourth Proportional to 628.22, 943.40 and 409.22

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Solution

The fourth proportional to 628.22, 943.40 and 409.22 is: 614.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    628.22 : 943.40 = 409.22 : x
  2. Step 2: Convert to fraction form
    628.22/943.40 = 409.22/x
  3. Step 3: Cross multiply
    628.22x = 943.40 × 409.22
  4. Step 4: Simplify right side
    628.22x = 386,051.38
  5. Step 5: Solve for x
    x = 386,051.38/628.22
  6. Step 6: Final answer
    x = 614.52

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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.