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Finding the Fourth Proportional to 954.87, 1,431.90 and 338.73

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Solution

The fourth proportional to 954.87, 1,431.90 and 338.73 is: 507.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    954.87 : 1,431.90 = 338.73 : x
  2. Step 2: Convert to fraction form
    954.87/1,431.90 = 338.73/x
  3. Step 3: Cross multiply
    954.87x = 1,431.90 × 338.73
  4. Step 4: Simplify right side
    954.87x = 485,027.49
  5. Step 5: Solve for x
    x = 485,027.49/954.87
  6. Step 6: Final answer
    x = 507.95

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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.