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Finding the Fourth Proportional to 594.95, 819.65 and 428.87

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Solution

The fourth proportional to 594.95, 819.65 and 428.87 is: 590.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    594.95 : 819.65 = 428.87 : x
  2. Step 2: Convert to fraction form
    594.95/819.65 = 428.87/x
  3. Step 3: Cross multiply
    594.95x = 819.65 × 428.87
  4. Step 4: Simplify right side
    594.95x = 351,517.05
  5. Step 5: Solve for x
    x = 351,517.05/594.95
  6. Step 6: Final answer
    x = 590.84

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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.