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Finding the Fourth Proportional to 2,312.25, 3,468.41 and 773.25

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Solution

The fourth proportional to 2,312.25, 3,468.41 and 773.25 is: 1,159.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,312.25 : 3,468.41 = 773.25 : x
  2. Step 2: Convert to fraction form
    2,312.25/3,468.41 = 773.25/x
  3. Step 3: Cross multiply
    2,312.25x = 3,468.41 × 773.25
  4. Step 4: Simplify right side
    2,312.25x = 2,681,948.03
  5. Step 5: Solve for x
    x = 2,681,948.03/2,312.25
  6. Step 6: Final answer
    x = 1,159.89

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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.