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Finding the Fourth Proportional to 762.37, 1,141.22 and 488.72

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Solution

The fourth proportional to 762.37, 1,141.22 and 488.72 is: 731.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    762.37 : 1,141.22 = 488.72 : x
  2. Step 2: Convert to fraction form
    762.37/1,141.22 = 488.72/x
  3. Step 3: Cross multiply
    762.37x = 1,141.22 × 488.72
  4. Step 4: Simplify right side
    762.37x = 557,741.11
  5. Step 5: Solve for x
    x = 557,741.11/762.37
  6. Step 6: Final answer
    x = 731.59

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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.