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Finding the Fourth Proportional to 497.01, 683.87 and 484.29

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Solution

The fourth proportional to 497.01, 683.87 and 484.29 is: 666.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    497.01 : 683.87 = 484.29 : x
  2. Step 2: Convert to fraction form
    497.01/683.87 = 484.29/x
  3. Step 3: Cross multiply
    497.01x = 683.87 × 484.29
  4. Step 4: Simplify right side
    497.01x = 331,188.98
  5. Step 5: Solve for x
    x = 331,188.98/497.01
  6. Step 6: Final answer
    x = 666.36

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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.