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Finding the Fourth Proportional to 500.09, 689.93 and 303.53

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Solution

The fourth proportional to 500.09, 689.93 and 303.53 is: 418.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    500.09 : 689.93 = 303.53 : x
  2. Step 2: Convert to fraction form
    500.09/689.93 = 303.53/x
  3. Step 3: Cross multiply
    500.09x = 689.93 × 303.53
  4. Step 4: Simplify right side
    500.09x = 209,409.49
  5. Step 5: Solve for x
    x = 209,409.49/500.09
  6. Step 6: Final answer
    x = 418.75

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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.