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Finding the Fourth Proportional to 592.56, 817.92 and 418.08

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Solution

The fourth proportional to 592.56, 817.92 and 418.08 is: 577.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    592.56 : 817.92 = 418.08 : x
  2. Step 2: Convert to fraction form
    592.56/817.92 = 418.08/x
  3. Step 3: Cross multiply
    592.56x = 817.92 × 418.08
  4. Step 4: Simplify right side
    592.56x = 341,955.99
  5. Step 5: Solve for x
    x = 341,955.99/592.56
  6. Step 6: Final answer
    x = 577.08

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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.