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Finding the Fourth Proportional to 594.42, 891.18 and 411.29

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Solution

The fourth proportional to 594.42, 891.18 and 411.29 is: 616.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    594.42 : 891.18 = 411.29 : x
  2. Step 2: Convert to fraction form
    594.42/891.18 = 411.29/x
  3. Step 3: Cross multiply
    594.42x = 891.18 × 411.29
  4. Step 4: Simplify right side
    594.42x = 366,528.97
  5. Step 5: Solve for x
    x = 366,528.97/594.42
  6. Step 6: Final answer
    x = 616.62

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.