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Finding the Fourth Proportional to 762.78, 1,052.72 and 638.22

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Solution

The fourth proportional to 762.78, 1,052.72 and 638.22 is: 880.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    762.78 : 1,052.72 = 638.22 : x
  2. Step 2: Convert to fraction form
    762.78/1,052.72 = 638.22/x
  3. Step 3: Cross multiply
    762.78x = 1,052.72 × 638.22
  4. Step 4: Simplify right side
    762.78x = 671,858.50
  5. Step 5: Solve for x
    x = 671,858.50/762.78
  6. Step 6: Final answer
    x = 880.81

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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.