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Finding the Fourth Proportional to 497.56, 684.46 and 477.58

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Solution

The fourth proportional to 497.56, 684.46 and 477.58 is: 656.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    497.56 : 684.46 = 477.58 : x
  2. Step 2: Convert to fraction form
    497.56/684.46 = 477.58/x
  3. Step 3: Cross multiply
    497.56x = 684.46 × 477.58
  4. Step 4: Simplify right side
    497.56x = 326,884.41
  5. Step 5: Solve for x
    x = 326,884.41/497.56
  6. Step 6: Final answer
    x = 656.97

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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.