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Finding the Fourth Proportional to 418.80, 587.40 and 418.80

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Solution

The fourth proportional to 418.80, 587.40 and 418.80 is: 587.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    418.80 : 587.40 = 418.80 : x
  2. Step 2: Convert to fraction form
    418.80/587.40 = 418.80/x
  3. Step 3: Cross multiply
    418.80x = 587.40 × 418.80
  4. Step 4: Simplify right side
    418.80x = 246,003.12
  5. Step 5: Solve for x
    x = 246,003.12/418.80
  6. Step 6: Final answer
    x = 587.40

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.