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Finding the Fourth Proportional to 764.47, 1,147.53 and 573.31

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Solution

The fourth proportional to 764.47, 1,147.53 and 573.31 is: 860.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    764.47 : 1,147.53 = 573.31 : x
  2. Step 2: Convert to fraction form
    764.47/1,147.53 = 573.31/x
  3. Step 3: Cross multiply
    764.47x = 1,147.53 × 573.31
  4. Step 4: Simplify right side
    764.47x = 657,890.42
  5. Step 5: Solve for x
    x = 657,890.42/764.47
  6. Step 6: Final answer
    x = 860.58

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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.