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Finding the Fourth Proportional to 592.84, 819.14 and 444.08

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Solution

The fourth proportional to 592.84, 819.14 and 444.08 is: 613.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    592.84 : 819.14 = 444.08 : x
  2. Step 2: Convert to fraction form
    592.84/819.14 = 444.08/x
  3. Step 3: Cross multiply
    592.84x = 819.14 × 444.08
  4. Step 4: Simplify right side
    592.84x = 363,764.77
  5. Step 5: Solve for x
    x = 363,764.77/592.84
  6. Step 6: Final answer
    x = 613.59

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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.