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Finding the Fourth Proportional to 594.18, 819.72 and 462.96

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Solution

The fourth proportional to 594.18, 819.72 and 462.96 is: 638.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    594.18 : 819.72 = 462.96 : x
  2. Step 2: Convert to fraction form
    594.18/819.72 = 462.96/x
  3. Step 3: Cross multiply
    594.18x = 819.72 × 462.96
  4. Step 4: Simplify right side
    594.18x = 379,497.57
  5. Step 5: Solve for x
    x = 379,497.57/594.18
  6. Step 6: Final answer
    x = 638.69

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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.