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Finding the Fourth Proportional to 492.72, 678.74 and 457.28

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Solution

The fourth proportional to 492.72, 678.74 and 457.28 is: 629.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    492.72 : 678.74 = 457.28 : x
  2. Step 2: Convert to fraction form
    492.72/678.74 = 457.28/x
  3. Step 3: Cross multiply
    492.72x = 678.74 × 457.28
  4. Step 4: Simplify right side
    492.72x = 310,374.23
  5. Step 5: Solve for x
    x = 310,374.23/492.72
  6. Step 6: Final answer
    x = 629.92

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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.