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Finding the Fourth Proportional to 762.28, 1,142.57 and 700.77

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Solution

The fourth proportional to 762.28, 1,142.57 and 700.77 is: 1,050.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    762.28 : 1,142.57 = 700.77 : x
  2. Step 2: Convert to fraction form
    762.28/1,142.57 = 700.77/x
  3. Step 3: Cross multiply
    762.28x = 1,142.57 × 700.77
  4. Step 4: Simplify right side
    762.28x = 800,678.78
  5. Step 5: Solve for x
    x = 800,678.78/762.28
  6. Step 6: Final answer
    x = 1,050.37

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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.