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Finding the Fourth Proportional to 594, 819.11 and 446.45

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Solution

The fourth proportional to 594, 819.11 and 446.45 is: 615.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    594 : 819.11 = 446.45 : x
  2. Step 2: Convert to fraction form
    594/819.11 = 446.45/x
  3. Step 3: Cross multiply
    594x = 819.11 × 446.45
  4. Step 4: Simplify right side
    594x = 365,688.68
  5. Step 5: Solve for x
    x = 365,688.68/594
  6. Step 6: Final answer
    x = 615.64

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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.