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Finding the Fourth Proportional to 479.95, 662.63 and 314.44

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Solution

The fourth proportional to 479.95, 662.63 and 314.44 is: 434.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    479.95 : 662.63 = 314.44 : x
  2. Step 2: Convert to fraction form
    479.95/662.63 = 314.44/x
  3. Step 3: Cross multiply
    479.95x = 662.63 × 314.44
  4. Step 4: Simplify right side
    479.95x = 208,357.38
  5. Step 5: Solve for x
    x = 208,357.38/479.95
  6. Step 6: Final answer
    x = 434.13

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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.