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Finding the Fourth Proportional to 953.82, 1,429.74 and 490.57

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Solution

The fourth proportional to 953.82, 1,429.74 and 490.57 is: 735.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    953.82 : 1,429.74 = 490.57 : x
  2. Step 2: Convert to fraction form
    953.82/1,429.74 = 490.57/x
  3. Step 3: Cross multiply
    953.82x = 1,429.74 × 490.57
  4. Step 4: Simplify right side
    953.82x = 701,387.55
  5. Step 5: Solve for x
    x = 701,387.55/953.82
  6. Step 6: Final answer
    x = 735.35

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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.