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Finding the Fourth Proportional to 592.49, 817.28 and 382.59

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Solution

The fourth proportional to 592.49, 817.28 and 382.59 is: 527.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    592.49 : 817.28 = 382.59 : x
  2. Step 2: Convert to fraction form
    592.49/817.28 = 382.59/x
  3. Step 3: Cross multiply
    592.49x = 817.28 × 382.59
  4. Step 4: Simplify right side
    592.49x = 312,681.24
  5. Step 5: Solve for x
    x = 312,681.24/592.49
  6. Step 6: Final answer
    x = 527.75

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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.