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Finding the Fourth Proportional to 592.88, 817.52 and 427.92

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Solution

The fourth proportional to 592.88, 817.52 and 427.92 is: 590.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    592.88 : 817.52 = 427.92 : x
  2. Step 2: Convert to fraction form
    592.88/817.52 = 427.92/x
  3. Step 3: Cross multiply
    592.88x = 817.52 × 427.92
  4. Step 4: Simplify right side
    592.88x = 349,833.16
  5. Step 5: Solve for x
    x = 349,833.16/592.88
  6. Step 6: Final answer
    x = 590.06

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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.