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Finding the Fourth Proportional to 757.67, 1,045.92 and 571.23

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Solution

The fourth proportional to 757.67, 1,045.92 and 571.23 is: 788.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    757.67 : 1,045.92 = 571.23 : x
  2. Step 2: Convert to fraction form
    757.67/1,045.92 = 571.23/x
  3. Step 3: Cross multiply
    757.67x = 1,045.92 × 571.23
  4. Step 4: Simplify right side
    757.67x = 597,460.88
  5. Step 5: Solve for x
    x = 597,460.88/757.67
  6. Step 6: Final answer
    x = 788.56

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.