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Finding the Fourth Proportional to 955.10, 1,433.46 and 763.94

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Solution

The fourth proportional to 955.10, 1,433.46 and 763.94 is: 1,146.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    955.10 : 1,433.46 = 763.94 : x
  2. Step 2: Convert to fraction form
    955.10/1,433.46 = 763.94/x
  3. Step 3: Cross multiply
    955.10x = 1,433.46 × 763.94
  4. Step 4: Simplify right side
    955.10x = 1,095,070.27
  5. Step 5: Solve for x
    x = 1,095,070.27/955.10
  6. Step 6: Final answer
    x = 1,146.56

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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.