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Finding the Fourth Proportional to 972.22, 1,455.87 and 765.70

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Solution

The fourth proportional to 972.22, 1,455.87 and 765.70 is: 1,146.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    972.22 : 1,455.87 = 765.70 : x
  2. Step 2: Convert to fraction form
    972.22/1,455.87 = 765.70/x
  3. Step 3: Cross multiply
    972.22x = 1,455.87 × 765.70
  4. Step 4: Simplify right side
    972.22x = 1,114,759.66
  5. Step 5: Solve for x
    x = 1,114,759.66/972.22
  6. Step 6: Final answer
    x = 1,146.61

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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.