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Finding the Fourth Proportional to 750.20, 1,122.63 and 657.41

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Solution

The fourth proportional to 750.20, 1,122.63 and 657.41 is: 983.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    750.20 : 1,122.63 = 657.41 : x
  2. Step 2: Convert to fraction form
    750.20/1,122.63 = 657.41/x
  3. Step 3: Cross multiply
    750.20x = 1,122.63 × 657.41
  4. Step 4: Simplify right side
    750.20x = 738,022.58
  5. Step 5: Solve for x
    x = 738,022.58/750.20
  6. Step 6: Final answer
    x = 983.77

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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.