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Finding the Fourth Proportional to 492.95, 675.33 and 474.48

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Solution

The fourth proportional to 492.95, 675.33 and 474.48 is: 650.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    492.95 : 675.33 = 474.48 : x
  2. Step 2: Convert to fraction form
    492.95/675.33 = 474.48/x
  3. Step 3: Cross multiply
    492.95x = 675.33 × 474.48
  4. Step 4: Simplify right side
    492.95x = 320,431.17
  5. Step 5: Solve for x
    x = 320,431.17/492.95
  6. Step 6: Final answer
    x = 650.03

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.