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Finding the Fourth Proportional to 762.90, 1,057.25 and 748.32

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Solution

The fourth proportional to 762.90, 1,057.25 and 748.32 is: 1,037.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    762.90 : 1,057.25 = 748.32 : x
  2. Step 2: Convert to fraction form
    762.90/1,057.25 = 748.32/x
  3. Step 3: Cross multiply
    762.90x = 1,057.25 × 748.32
  4. Step 4: Simplify right side
    762.90x = 791,157.58
  5. Step 5: Solve for x
    x = 791,157.58/762.90
  6. Step 6: Final answer
    x = 1,037.04

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.