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Finding the Fourth Proportional to 539.72, 744.06 and 421.34

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Solution

The fourth proportional to 539.72, 744.06 and 421.34 is: 580.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    539.72 : 744.06 = 421.34 : x
  2. Step 2: Convert to fraction form
    539.72/744.06 = 421.34/x
  3. Step 3: Cross multiply
    539.72x = 744.06 × 421.34
  4. Step 4: Simplify right side
    539.72x = 313,502.24
  5. Step 5: Solve for x
    x = 313,502.24/539.72
  6. Step 6: Final answer
    x = 580.86

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.