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Finding the Fourth Proportional to 500.33, 688.01 and 444.98

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Solution

The fourth proportional to 500.33, 688.01 and 444.98 is: 611.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    500.33 : 688.01 = 444.98 : x
  2. Step 2: Convert to fraction form
    500.33/688.01 = 444.98/x
  3. Step 3: Cross multiply
    500.33x = 688.01 × 444.98
  4. Step 4: Simplify right side
    500.33x = 306,145.02
  5. Step 5: Solve for x
    x = 306,145.02/500.33
  6. Step 6: Final answer
    x = 611.89

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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.