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Finding the Fourth Proportional to 762.55, 1,142.51 and 668.99

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Solution

The fourth proportional to 762.55, 1,142.51 and 668.99 is: 1,002.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    762.55 : 1,142.51 = 668.99 : x
  2. Step 2: Convert to fraction form
    762.55/1,142.51 = 668.99/x
  3. Step 3: Cross multiply
    762.55x = 1,142.51 × 668.99
  4. Step 4: Simplify right side
    762.55x = 764,327.28
  5. Step 5: Solve for x
    x = 764,327.28/762.55
  6. Step 6: Final answer
    x = 1,002.33

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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.