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Finding the Fourth Proportional to 592.78, 818.67 and 406.75

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Solution

The fourth proportional to 592.78, 818.67 and 406.75 is: 561.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    592.78 : 818.67 = 406.75 : x
  2. Step 2: Convert to fraction form
    592.78/818.67 = 406.75/x
  3. Step 3: Cross multiply
    592.78x = 818.67 × 406.75
  4. Step 4: Simplify right side
    592.78x = 332,994.02
  5. Step 5: Solve for x
    x = 332,994.02/592.78
  6. Step 6: Final answer
    x = 561.75

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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.