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Finding the Fourth Proportional to 954.46, 1,423.70 and 798.64

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Solution

The fourth proportional to 954.46, 1,423.70 and 798.64 is: 1,191.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    954.46 : 1,423.70 = 798.64 : x
  2. Step 2: Convert to fraction form
    954.46/1,423.70 = 798.64/x
  3. Step 3: Cross multiply
    954.46x = 1,423.70 × 798.64
  4. Step 4: Simplify right side
    954.46x = 1,137,023.77
  5. Step 5: Solve for x
    x = 1,137,023.77/954.46
  6. Step 6: Final answer
    x = 1,191.27

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.