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Finding the Fourth Proportional to 497.21, 685.80 and 347.56

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Solution

The fourth proportional to 497.21, 685.80 and 347.56 is: 479.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    497.21 : 685.80 = 347.56 : x
  2. Step 2: Convert to fraction form
    497.21/685.80 = 347.56/x
  3. Step 3: Cross multiply
    497.21x = 685.80 × 347.56
  4. Step 4: Simplify right side
    497.21x = 238,354.93
  5. Step 5: Solve for x
    x = 238,354.93/497.21
  6. Step 6: Final answer
    x = 479.39

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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.