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Finding the Fourth Proportional to 764.55, 1,146.83 and 521.55

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Solution

The fourth proportional to 764.55, 1,146.83 and 521.55 is: 782.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    764.55 : 1,146.83 = 521.55 : x
  2. Step 2: Convert to fraction form
    764.55/1,146.83 = 521.55/x
  3. Step 3: Cross multiply
    764.55x = 1,146.83 × 521.55
  4. Step 4: Simplify right side
    764.55x = 598,126.58
  5. Step 5: Solve for x
    x = 598,126.58/764.55
  6. Step 6: Final answer
    x = 782.33

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Double scale
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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.