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Finding the Fourth Proportional to 663.93, 995.49 and 339.53

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Solution

The fourth proportional to 663.93, 995.49 and 339.53 is: 509.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    663.93 : 995.49 = 339.53 : x
  2. Step 2: Convert to fraction form
    663.93/995.49 = 339.53/x
  3. Step 3: Cross multiply
    663.93x = 995.49 × 339.53
  4. Step 4: Simplify right side
    663.93x = 337,993.74
  5. Step 5: Solve for x
    x = 337,993.74/663.93
  6. Step 6: Final answer
    x = 509.08

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.