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Finding the Fourth Proportional to 492.64, 679.44 and 405.16

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Solution

The fourth proportional to 492.64, 679.44 and 405.16 is: 558.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    492.64 : 679.44 = 405.16 : x
  2. Step 2: Convert to fraction form
    492.64/679.44 = 405.16/x
  3. Step 3: Cross multiply
    492.64x = 679.44 × 405.16
  4. Step 4: Simplify right side
    492.64x = 275,281.91
  5. Step 5: Solve for x
    x = 275,281.91/492.64
  6. Step 6: Final answer
    x = 558.79

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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.