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Finding the Fourth Proportional to 439.63, 605.85 and 315.08

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Solution

The fourth proportional to 439.63, 605.85 and 315.08 is: 434.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    439.63 : 605.85 = 315.08 : x
  2. Step 2: Convert to fraction form
    439.63/605.85 = 315.08/x
  3. Step 3: Cross multiply
    439.63x = 605.85 × 315.08
  4. Step 4: Simplify right side
    439.63x = 190,888.19
  5. Step 5: Solve for x
    x = 190,888.19/439.63
  6. Step 6: Final answer
    x = 434.21

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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.