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Finding the Fourth Proportional to 501.42, 688.28 and 444.93

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Solution

The fourth proportional to 501.42, 688.28 and 444.93 is: 610.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    501.42 : 688.28 = 444.93 : x
  2. Step 2: Convert to fraction form
    501.42/688.28 = 444.93/x
  3. Step 3: Cross multiply
    501.42x = 688.28 × 444.93
  4. Step 4: Simplify right side
    501.42x = 306,230.75
  5. Step 5: Solve for x
    x = 306,230.75/501.42
  6. Step 6: Final answer
    x = 610.73

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.