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Finding the Fourth Proportional to 592.92, 818.40 and 418.32

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Solution

The fourth proportional to 592.92, 818.40 and 418.32 is: 577.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    592.92 : 818.40 = 418.32 : x
  2. Step 2: Convert to fraction form
    592.92/818.40 = 418.32/x
  3. Step 3: Cross multiply
    592.92x = 818.40 × 418.32
  4. Step 4: Simplify right side
    592.92x = 342,353.09
  5. Step 5: Solve for x
    x = 342,353.09/592.92
  6. Step 6: Final answer
    x = 577.40

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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.