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Finding the Fourth Proportional to 479.86, 662.54 and 314.37

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Solution

The fourth proportional to 479.86, 662.54 and 314.37 is: 434.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    479.86 : 662.54 = 314.37 : x
  2. Step 2: Convert to fraction form
    479.86/662.54 = 314.37/x
  3. Step 3: Cross multiply
    479.86x = 662.54 × 314.37
  4. Step 4: Simplify right side
    479.86x = 208,281.13
  5. Step 5: Solve for x
    x = 208,281.13/479.86
  6. Step 6: Final answer
    x = 434.05

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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.