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Finding the Fourth Proportional to 563.88, 842.82 and 490.16

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Solution

The fourth proportional to 563.88, 842.82 and 490.16 is: 732.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    563.88 : 842.82 = 490.16 : x
  2. Step 2: Convert to fraction form
    563.88/842.82 = 490.16/x
  3. Step 3: Cross multiply
    563.88x = 842.82 × 490.16
  4. Step 4: Simplify right side
    563.88x = 413,116.65
  5. Step 5: Solve for x
    x = 413,116.65/563.88
  6. Step 6: Final answer
    x = 732.63

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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.