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Finding the Fourth Proportional to 764.99, 1,147.68 and 278.45

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Solution

The fourth proportional to 764.99, 1,147.68 and 278.45 is: 417.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    764.99 : 1,147.68 = 278.45 : x
  2. Step 2: Convert to fraction form
    764.99/1,147.68 = 278.45/x
  3. Step 3: Cross multiply
    764.99x = 1,147.68 × 278.45
  4. Step 4: Simplify right side
    764.99x = 319,571.50
  5. Step 5: Solve for x
    x = 319,571.50/764.99
  6. Step 6: Final answer
    x = 417.75

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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.