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Finding the Fourth Proportional to 497.48, 689.37 and 486.14

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Solution

The fourth proportional to 497.48, 689.37 and 486.14 is: 673.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    497.48 : 689.37 = 486.14 : x
  2. Step 2: Convert to fraction form
    497.48/689.37 = 486.14/x
  3. Step 3: Cross multiply
    497.48x = 689.37 × 486.14
  4. Step 4: Simplify right side
    497.48x = 335,130.33
  5. Step 5: Solve for x
    x = 335,130.33/497.48
  6. Step 6: Final answer
    x = 673.66

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.