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Finding the Fourth Proportional to 772.86, 1,158.56 and 464.80

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Solution

The fourth proportional to 772.86, 1,158.56 and 464.80 is: 696.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    772.86 : 1,158.56 = 464.80 : x
  2. Step 2: Convert to fraction form
    772.86/1,158.56 = 464.80/x
  3. Step 3: Cross multiply
    772.86x = 1,158.56 × 464.80
  4. Step 4: Simplify right side
    772.86x = 538,498.69
  5. Step 5: Solve for x
    x = 538,498.69/772.86
  6. Step 6: Final answer
    x = 696.76

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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.