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Finding the Fourth Proportional to 592.66, 818.14 and 415.78

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Solution

The fourth proportional to 592.66, 818.14 and 415.78 is: 573.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    592.66 : 818.14 = 415.78 : x
  2. Step 2: Convert to fraction form
    592.66/818.14 = 415.78/x
  3. Step 3: Cross multiply
    592.66x = 818.14 × 415.78
  4. Step 4: Simplify right side
    592.66x = 340,166.25
  5. Step 5: Solve for x
    x = 340,166.25/592.66
  6. Step 6: Final answer
    x = 573.97

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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.