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Finding the Fourth Proportional to 952.55, 1,419.87 and 847.89

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Solution

The fourth proportional to 952.55, 1,419.87 and 847.89 is: 1,263.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    952.55 : 1,419.87 = 847.89 : x
  2. Step 2: Convert to fraction form
    952.55/1,419.87 = 847.89/x
  3. Step 3: Cross multiply
    952.55x = 1,419.87 × 847.89
  4. Step 4: Simplify right side
    952.55x = 1,203,893.57
  5. Step 5: Solve for x
    x = 1,203,893.57/952.55
  6. Step 6: Final answer
    x = 1,263.86

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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.