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Finding the Fourth Proportional to 594.42, 819.56 and 384.24

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Solution

The fourth proportional to 594.42, 819.56 and 384.24 is: 529.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    594.42 : 819.56 = 384.24 : x
  2. Step 2: Convert to fraction form
    594.42/819.56 = 384.24/x
  3. Step 3: Cross multiply
    594.42x = 819.56 × 384.24
  4. Step 4: Simplify right side
    594.42x = 314,907.73
  5. Step 5: Solve for x
    x = 314,907.73/594.42
  6. Step 6: Final answer
    x = 529.77

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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.