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Finding the Fourth Proportional to 444.21, 611.68 and 434.62

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Solution

The fourth proportional to 444.21, 611.68 and 434.62 is: 598.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    444.21 : 611.68 = 434.62 : x
  2. Step 2: Convert to fraction form
    444.21/611.68 = 434.62/x
  3. Step 3: Cross multiply
    444.21x = 611.68 × 434.62
  4. Step 4: Simplify right side
    444.21x = 265,848.36
  5. Step 5: Solve for x
    x = 265,848.36/444.21
  6. Step 6: Final answer
    x = 598.47

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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.