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Finding the Fourth Proportional to 566.92, 846.30 and 494

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Solution

The fourth proportional to 566.92, 846.30 and 494 is: 737.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    566.92 : 846.30 = 494 : x
  2. Step 2: Convert to fraction form
    566.92/846.30 = 494/x
  3. Step 3: Cross multiply
    566.92x = 846.30 × 494
  4. Step 4: Simplify right side
    566.92x = 418,072.20
  5. Step 5: Solve for x
    x = 418,072.20/566.92
  6. Step 6: Final answer
    x = 737.44

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.