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Finding the Fourth Proportional to 629.40, 939.86 and 514.07

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Solution

The fourth proportional to 629.40, 939.86 and 514.07 is: 767.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    629.40 : 939.86 = 514.07 : x
  2. Step 2: Convert to fraction form
    629.40/939.86 = 514.07/x
  3. Step 3: Cross multiply
    629.40x = 939.86 × 514.07
  4. Step 4: Simplify right side
    629.40x = 483,154.89
  5. Step 5: Solve for x
    x = 483,154.89/629.40
  6. Step 6: Final answer
    x = 767.65

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.