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Finding the Fourth Proportional to 484.65, 665.35 and 418.23

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Solution

The fourth proportional to 484.65, 665.35 and 418.23 is: 574.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    484.65 : 665.35 = 418.23 : x
  2. Step 2: Convert to fraction form
    484.65/665.35 = 418.23/x
  3. Step 3: Cross multiply
    484.65x = 665.35 × 418.23
  4. Step 4: Simplify right side
    484.65x = 278,268.28
  5. Step 5: Solve for x
    x = 278,268.28/484.65
  6. Step 6: Final answer
    x = 574.16

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.