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Finding the Fourth Proportional to 497.69, 687.05 and 320.75

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Solution

The fourth proportional to 497.69, 687.05 and 320.75 is: 442.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    497.69 : 687.05 = 320.75 : x
  2. Step 2: Convert to fraction form
    497.69/687.05 = 320.75/x
  3. Step 3: Cross multiply
    497.69x = 687.05 × 320.75
  4. Step 4: Simplify right side
    497.69x = 220,371.29
  5. Step 5: Solve for x
    x = 220,371.29/497.69
  6. Step 6: Final answer
    x = 442.79

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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.