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Finding the Fourth Proportional to 418.67, 578.03 and 374.93

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Solution

The fourth proportional to 418.67, 578.03 and 374.93 is: 517.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    418.67 : 578.03 = 374.93 : x
  2. Step 2: Convert to fraction form
    418.67/578.03 = 374.93/x
  3. Step 3: Cross multiply
    418.67x = 578.03 × 374.93
  4. Step 4: Simplify right side
    418.67x = 216,720.79
  5. Step 5: Solve for x
    x = 216,720.79/418.67
  6. Step 6: Final answer
    x = 517.64

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.