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Finding the Fourth Proportional to 594.28, 819.81 and 384.63

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Solution

The fourth proportional to 594.28, 819.81 and 384.63 is: 530.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    594.28 : 819.81 = 384.63 : x
  2. Step 2: Convert to fraction form
    594.28/819.81 = 384.63/x
  3. Step 3: Cross multiply
    594.28x = 819.81 × 384.63
  4. Step 4: Simplify right side
    594.28x = 315,323.52
  5. Step 5: Solve for x
    x = 315,323.52/594.28
  6. Step 6: Final answer
    x = 530.60

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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.