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Finding the Fourth Proportional to 953.13, 1,429.70 and 259.86

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Solution

The fourth proportional to 953.13, 1,429.70 and 259.86 is: 389.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    953.13 : 1,429.70 = 259.86 : x
  2. Step 2: Convert to fraction form
    953.13/1,429.70 = 259.86/x
  3. Step 3: Cross multiply
    953.13x = 1,429.70 × 259.86
  4. Step 4: Simplify right side
    953.13x = 371,520.54
  5. Step 5: Solve for x
    x = 371,520.54/953.13
  6. Step 6: Final answer
    x = 389.79

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Similar ratio
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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.