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Finding the Fourth Proportional to 953.98, 1,431.07 and 845.30

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Solution

The fourth proportional to 953.98, 1,431.07 and 845.30 is: 1,268.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    953.98 : 1,431.07 = 845.30 : x
  2. Step 2: Convert to fraction form
    953.98/1,431.07 = 845.30/x
  3. Step 3: Cross multiply
    953.98x = 1,431.07 × 845.30
  4. Step 4: Simplify right side
    953.98x = 1,209,684.94
  5. Step 5: Solve for x
    x = 1,209,684.94/953.98
  6. Step 6: Final answer
    x = 1,268.04

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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.