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Finding the Fourth Proportional to 772.43, 1,158.94 and 464.50

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Solution

The fourth proportional to 772.43, 1,158.94 and 464.50 is: 696.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    772.43 : 1,158.94 = 464.50 : x
  2. Step 2: Convert to fraction form
    772.43/1,158.94 = 464.50/x
  3. Step 3: Cross multiply
    772.43x = 1,158.94 × 464.50
  4. Step 4: Simplify right side
    772.43x = 538,322.41
  5. Step 5: Solve for x
    x = 538,322.41/772.43
  6. Step 6: Final answer
    x = 696.93

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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.