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Finding the Fourth Proportional to 594.84, 819.01 and 489.59

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Solution

The fourth proportional to 594.84, 819.01 and 489.59 is: 674.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    594.84 : 819.01 = 489.59 : x
  2. Step 2: Convert to fraction form
    594.84/819.01 = 489.59/x
  3. Step 3: Cross multiply
    594.84x = 819.01 × 489.59
  4. Step 4: Simplify right side
    594.84x = 400,979.11
  5. Step 5: Solve for x
    x = 400,979.11/594.84
  6. Step 6: Final answer
    x = 674.10

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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.