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Finding the Fourth Proportional to 953, 1,429.50 and 303.74

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Solution

The fourth proportional to 953, 1,429.50 and 303.74 is: 455.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    953 : 1,429.50 = 303.74 : x
  2. Step 2: Convert to fraction form
    953/1,429.50 = 303.74/x
  3. Step 3: Cross multiply
    953x = 1,429.50 × 303.74
  4. Step 4: Simplify right side
    953x = 434,196.33
  5. Step 5: Solve for x
    x = 434,196.33/953
  6. Step 6: Final answer
    x = 455.61

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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.