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Finding the Fourth Proportional to 763.89, 1,145.80 and 276.94

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Solution

The fourth proportional to 763.89, 1,145.80 and 276.94 is: 415.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    763.89 : 1,145.80 = 276.94 : x
  2. Step 2: Convert to fraction form
    763.89/1,145.80 = 276.94/x
  3. Step 3: Cross multiply
    763.89x = 1,145.80 × 276.94
  4. Step 4: Simplify right side
    763.89x = 317,317.85
  5. Step 5: Solve for x
    x = 317,317.85/763.89
  6. Step 6: Final answer
    x = 415.40

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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.