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Finding the Fourth Proportional to 592.30, 817.52 and 353.28

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Solution

The fourth proportional to 592.30, 817.52 and 353.28 is: 487.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    592.30 : 817.52 = 353.28 : x
  2. Step 2: Convert to fraction form
    592.30/817.52 = 353.28/x
  3. Step 3: Cross multiply
    592.30x = 817.52 × 353.28
  4. Step 4: Simplify right side
    592.30x = 288,813.47
  5. Step 5: Solve for x
    x = 288,813.47/592.30
  6. Step 6: Final answer
    x = 487.61

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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.