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Finding the Fourth Proportional to 602.46, 832.57 and 490.21

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Solution

The fourth proportional to 602.46, 832.57 and 490.21 is: 677.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    602.46 : 832.57 = 490.21 : x
  2. Step 2: Convert to fraction form
    602.46/832.57 = 490.21/x
  3. Step 3: Cross multiply
    602.46x = 832.57 × 490.21
  4. Step 4: Simplify right side
    602.46x = 408,130.83
  5. Step 5: Solve for x
    x = 408,130.83/602.46
  6. Step 6: Final answer
    x = 677.44

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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.