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Finding the Fourth Proportional to 772.95, 1,157.58 and 633.48

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Solution

The fourth proportional to 772.95, 1,157.58 and 633.48 is: 948.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    772.95 : 1,157.58 = 633.48 : x
  2. Step 2: Convert to fraction form
    772.95/1,157.58 = 633.48/x
  3. Step 3: Cross multiply
    772.95x = 1,157.58 × 633.48
  4. Step 4: Simplify right side
    772.95x = 733,303.78
  5. Step 5: Solve for x
    x = 733,303.78/772.95
  6. Step 6: Final answer
    x = 948.71

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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.