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Finding the Fourth Proportional to 763.75, 1,145.75 and 276.77

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Solution

The fourth proportional to 763.75, 1,145.75 and 276.77 is: 415.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    763.75 : 1,145.75 = 276.77 : x
  2. Step 2: Convert to fraction form
    763.75/1,145.75 = 276.77/x
  3. Step 3: Cross multiply
    763.75x = 1,145.75 × 276.77
  4. Step 4: Simplify right side
    763.75x = 317,109.23
  5. Step 5: Solve for x
    x = 317,109.23/763.75
  6. Step 6: Final answer
    x = 415.20

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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.