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Finding the Fourth Proportional to 420.39, 582.93 and 406.55

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Solution

The fourth proportional to 420.39, 582.93 and 406.55 is: 563.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    420.39 : 582.93 = 406.55 : x
  2. Step 2: Convert to fraction form
    420.39/582.93 = 406.55/x
  3. Step 3: Cross multiply
    420.39x = 582.93 × 406.55
  4. Step 4: Simplify right side
    420.39x = 236,991.65
  5. Step 5: Solve for x
    x = 236,991.65/420.39
  6. Step 6: Final answer
    x = 563.74

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.