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Finding the Fourth Proportional to 592.62, 818.55 and 418.74

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Solution

The fourth proportional to 592.62, 818.55 and 418.74 is: 578.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    592.62 : 818.55 = 418.74 : x
  2. Step 2: Convert to fraction form
    592.62/818.55 = 418.74/x
  3. Step 3: Cross multiply
    592.62x = 818.55 × 418.74
  4. Step 4: Simplify right side
    592.62x = 342,759.63
  5. Step 5: Solve for x
    x = 342,759.63/592.62
  6. Step 6: Final answer
    x = 578.38

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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.