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Finding the Fourth Proportional to 954.90, 1,431.14 and 830.99

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Solution

The fourth proportional to 954.90, 1,431.14 and 830.99 is: 1,245.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    954.90 : 1,431.14 = 830.99 : x
  2. Step 2: Convert to fraction form
    954.90/1,431.14 = 830.99/x
  3. Step 3: Cross multiply
    954.90x = 1,431.14 × 830.99
  4. Step 4: Simplify right side
    954.90x = 1,189,251.72
  5. Step 5: Solve for x
    x = 1,189,251.72/954.90
  6. Step 6: Final answer
    x = 1,245.42

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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.