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Finding the Fourth Proportional to 764.76, 1,145.52 and 521.76

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Solution

The fourth proportional to 764.76, 1,145.52 and 521.76 is: 781.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    764.76 : 1,145.52 = 521.76 : x
  2. Step 2: Convert to fraction form
    764.76/1,145.52 = 521.76/x
  3. Step 3: Cross multiply
    764.76x = 1,145.52 × 521.76
  4. Step 4: Simplify right side
    764.76x = 597,686.52
  5. Step 5: Solve for x
    x = 597,686.52/764.76
  6. Step 6: Final answer
    x = 781.53

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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.