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Finding the Fourth Proportional to 497.58, 685.78 and 474.49

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Solution

The fourth proportional to 497.58, 685.78 and 474.49 is: 653.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    497.58 : 685.78 = 474.49 : x
  2. Step 2: Convert to fraction form
    497.58/685.78 = 474.49/x
  3. Step 3: Cross multiply
    497.58x = 685.78 × 474.49
  4. Step 4: Simplify right side
    497.58x = 325,395.75
  5. Step 5: Solve for x
    x = 325,395.75/497.58
  6. Step 6: Final answer
    x = 653.96

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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.