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Finding the Fourth Proportional to 816.25, 1,215.95 and 765.83

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Solution

The fourth proportional to 816.25, 1,215.95 and 765.83 is: 1,140.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    816.25 : 1,215.95 = 765.83 : x
  2. Step 2: Convert to fraction form
    816.25/1,215.95 = 765.83/x
  3. Step 3: Cross multiply
    816.25x = 1,215.95 × 765.83
  4. Step 4: Simplify right side
    816.25x = 931,210.99
  5. Step 5: Solve for x
    x = 931,210.99/816.25
  6. Step 6: Final answer
    x = 1,140.84

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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.