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Finding the Fourth Proportional to 629.35, 942.25 and 320.55

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Solution

The fourth proportional to 629.35, 942.25 and 320.55 is: 479.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    629.35 : 942.25 = 320.55 : x
  2. Step 2: Convert to fraction form
    629.35/942.25 = 320.55/x
  3. Step 3: Cross multiply
    629.35x = 942.25 × 320.55
  4. Step 4: Simplify right side
    629.35x = 302,038.24
  5. Step 5: Solve for x
    x = 302,038.24/629.35
  6. Step 6: Final answer
    x = 479.92

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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.