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Finding the Fourth Proportional to 418.76, 572.77 and 412.04

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Solution

The fourth proportional to 418.76, 572.77 and 412.04 is: 563.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    418.76 : 572.77 = 412.04 : x
  2. Step 2: Convert to fraction form
    418.76/572.77 = 412.04/x
  3. Step 3: Cross multiply
    418.76x = 572.77 × 412.04
  4. Step 4: Simplify right side
    418.76x = 236,004.15
  5. Step 5: Solve for x
    x = 236,004.15/418.76
  6. Step 6: Final answer
    x = 563.58

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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.