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Finding the Fourth Proportional to 629.59, 945.07 and 500.42

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Solution

The fourth proportional to 629.59, 945.07 and 500.42 is: 751.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    629.59 : 945.07 = 500.42 : x
  2. Step 2: Convert to fraction form
    629.59/945.07 = 500.42/x
  3. Step 3: Cross multiply
    629.59x = 945.07 × 500.42
  4. Step 4: Simplify right side
    629.59x = 472,926.40
  5. Step 5: Solve for x
    x = 472,926.40/629.59
  6. Step 6: Final answer
    x = 751.17

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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.