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Finding the Fourth Proportional to 954.87, 1,433.91 and 834.18

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Solution

The fourth proportional to 954.87, 1,433.91 and 834.18 is: 1,252.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    954.87 : 1,433.91 = 834.18 : x
  2. Step 2: Convert to fraction form
    954.87/1,433.91 = 834.18/x
  3. Step 3: Cross multiply
    954.87x = 1,433.91 × 834.18
  4. Step 4: Simplify right side
    954.87x = 1,196,139.04
  5. Step 5: Solve for x
    x = 1,196,139.04/954.87
  6. Step 6: Final answer
    x = 1,252.67

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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.