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Finding the Fourth Proportional to 772.94, 1,158.98 and 460.90

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Solution

The fourth proportional to 772.94, 1,158.98 and 460.90 is: 691.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    772.94 : 1,158.98 = 460.90 : x
  2. Step 2: Convert to fraction form
    772.94/1,158.98 = 460.90/x
  3. Step 3: Cross multiply
    772.94x = 1,158.98 × 460.90
  4. Step 4: Simplify right side
    772.94x = 534,173.88
  5. Step 5: Solve for x
    x = 534,173.88/772.94
  6. Step 6: Final answer
    x = 691.09

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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.