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Finding the Fourth Proportional to 953.83, 1,429.80 and 850.69

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Solution

The fourth proportional to 953.83, 1,429.80 and 850.69 is: 1,275.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    953.83 : 1,429.80 = 850.69 : x
  2. Step 2: Convert to fraction form
    953.83/1,429.80 = 850.69/x
  3. Step 3: Cross multiply
    953.83x = 1,429.80 × 850.69
  4. Step 4: Simplify right side
    953.83x = 1,216,316.56
  5. Step 5: Solve for x
    x = 1,216,316.56/953.83
  6. Step 6: Final answer
    x = 1,275.19

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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.