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Finding the Fourth Proportional to 421.94, 584.54 and 411.86

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Solution

The fourth proportional to 421.94, 584.54 and 411.86 is: 570.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    421.94 : 584.54 = 411.86 : x
  2. Step 2: Convert to fraction form
    421.94/584.54 = 411.86/x
  3. Step 3: Cross multiply
    421.94x = 584.54 × 411.86
  4. Step 4: Simplify right side
    421.94x = 240,748.64
  5. Step 5: Solve for x
    x = 240,748.64/421.94
  6. Step 6: Final answer
    x = 570.58

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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.