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Finding the Fourth Proportional to 764.88, 1,148.40 and 520.80

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Solution

The fourth proportional to 764.88, 1,148.40 and 520.80 is: 781.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    764.88 : 1,148.40 = 520.80 : x
  2. Step 2: Convert to fraction form
    764.88/1,148.40 = 520.80/x
  3. Step 3: Cross multiply
    764.88x = 1,148.40 × 520.80
  4. Step 4: Simplify right side
    764.88x = 598,086.72
  5. Step 5: Solve for x
    x = 598,086.72/764.88
  6. Step 6: Final answer
    x = 781.94

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.