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Finding the Fourth Proportional to 771.11, 1,154.16 and 423.57

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Solution

The fourth proportional to 771.11, 1,154.16 and 423.57 is: 633.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    771.11 : 1,154.16 = 423.57 : x
  2. Step 2: Convert to fraction form
    771.11/1,154.16 = 423.57/x
  3. Step 3: Cross multiply
    771.11x = 1,154.16 × 423.57
  4. Step 4: Simplify right side
    771.11x = 488,867.55
  5. Step 5: Solve for x
    x = 488,867.55/771.11
  6. Step 6: Final answer
    x = 633.98

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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.