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Finding the Fourth Proportional to 539.23, 744.26 and 342.70

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Solution

The fourth proportional to 539.23, 744.26 and 342.70 is: 473.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    539.23 : 744.26 = 342.70 : x
  2. Step 2: Convert to fraction form
    539.23/744.26 = 342.70/x
  3. Step 3: Cross multiply
    539.23x = 744.26 × 342.70
  4. Step 4: Simplify right side
    539.23x = 255,058.51
  5. Step 5: Solve for x
    x = 255,058.51/539.23
  6. Step 6: Final answer
    x = 473.01

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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.