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Finding the Fourth Proportional to 964.74, 1,445.50 and 810.73

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Solution

The fourth proportional to 964.74, 1,445.50 and 810.73 is: 1,214.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    964.74 : 1,445.50 = 810.73 : x
  2. Step 2: Convert to fraction form
    964.74/1,445.50 = 810.73/x
  3. Step 3: Cross multiply
    964.74x = 1,445.50 × 810.73
  4. Step 4: Simplify right side
    964.74x = 1,171,910.22
  5. Step 5: Solve for x
    x = 1,171,910.22/964.74
  6. Step 6: Final answer
    x = 1,214.75

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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.