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Finding the Fourth Proportional to 439.41, 602.75 and 430.30

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Solution

The fourth proportional to 439.41, 602.75 and 430.30 is: 590.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    439.41 : 602.75 = 430.30 : x
  2. Step 2: Convert to fraction form
    439.41/602.75 = 430.30/x
  3. Step 3: Cross multiply
    439.41x = 602.75 × 430.30
  4. Step 4: Simplify right side
    439.41x = 259,365.15
  5. Step 5: Solve for x
    x = 259,365.15/439.41
  6. Step 6: Final answer
    x = 590.25

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.