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Finding the Fourth Proportional to 647.89, 972.18 and 494.80

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Solution

The fourth proportional to 647.89, 972.18 and 494.80 is: 742.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    647.89 : 972.18 = 494.80 : x
  2. Step 2: Convert to fraction form
    647.89/972.18 = 494.80/x
  3. Step 3: Cross multiply
    647.89x = 972.18 × 494.80
  4. Step 4: Simplify right side
    647.89x = 481,027.33
  5. Step 5: Solve for x
    x = 481,027.33/647.89
  6. Step 6: Final answer
    x = 742.46

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.