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Finding the Fourth Proportional to 482.90, 666.38 and 420.71

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Solution

The fourth proportional to 482.90, 666.38 and 420.71 is: 580.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    482.90 : 666.38 = 420.71 : x
  2. Step 2: Convert to fraction form
    482.90/666.38 = 420.71/x
  3. Step 3: Cross multiply
    482.90x = 666.38 × 420.71
  4. Step 4: Simplify right side
    482.90x = 280,350.45
  5. Step 5: Solve for x
    x = 280,350.45/482.90
  6. Step 6: Final answer
    x = 580.56

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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.