Home / 1,090.34-1,635.51-320.78

Finding the Fourth Proportional to 1,090.34, 1,635.51 and 320.78

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Solution

The fourth proportional to 1,090.34, 1,635.51 and 320.78 is: 481.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,090.34 : 1,635.51 = 320.78 : x
  2. Step 2: Convert to fraction form
    1,090.34/1,635.51 = 320.78/x
  3. Step 3: Cross multiply
    1,090.34x = 1,635.51 × 320.78
  4. Step 4: Simplify right side
    1,090.34x = 524,638.90
  5. Step 5: Solve for x
    x = 524,638.90/1,090.34
  6. Step 6: Final answer
    x = 481.17

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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.