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Finding the Fourth Proportional to 497.04, 685.98 and 322.44

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Solution

The fourth proportional to 497.04, 685.98 and 322.44 is: 445.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    497.04 : 685.98 = 322.44 : x
  2. Step 2: Convert to fraction form
    497.04/685.98 = 322.44/x
  3. Step 3: Cross multiply
    497.04x = 685.98 × 322.44
  4. Step 4: Simplify right side
    497.04x = 221,187.39
  5. Step 5: Solve for x
    x = 221,187.39/497.04
  6. Step 6: Final answer
    x = 445.01

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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.