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Finding the Fourth Proportional to 482.86, 665.70 and 377.54

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Solution

The fourth proportional to 482.86, 665.70 and 377.54 is: 520.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    482.86 : 665.70 = 377.54 : x
  2. Step 2: Convert to fraction form
    482.86/665.70 = 377.54/x
  3. Step 3: Cross multiply
    482.86x = 665.70 × 377.54
  4. Step 4: Simplify right side
    482.86x = 251,326.13
  5. Step 5: Solve for x
    x = 251,326.13/482.86
  6. Step 6: Final answer
    x = 520.49

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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.