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Finding the Fourth Proportional to 629.03, 944.15 and 282.75

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Solution

The fourth proportional to 629.03, 944.15 and 282.75 is: 424.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    629.03 : 944.15 = 282.75 : x
  2. Step 2: Convert to fraction form
    629.03/944.15 = 282.75/x
  3. Step 3: Cross multiply
    629.03x = 944.15 × 282.75
  4. Step 4: Simplify right side
    629.03x = 266,957.00
  5. Step 5: Solve for x
    x = 266,957.00/629.03
  6. Step 6: Final answer
    x = 424.40

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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.