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Finding the Fourth Proportional to 774.60, 1,160.28 and 485.16

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Solution

The fourth proportional to 774.60, 1,160.28 and 485.16 is: 726.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    774.60 : 1,160.28 = 485.16 : x
  2. Step 2: Convert to fraction form
    774.60/1,160.28 = 485.16/x
  3. Step 3: Cross multiply
    774.60x = 1,160.28 × 485.16
  4. Step 4: Simplify right side
    774.60x = 562,921.44
  5. Step 5: Solve for x
    x = 562,921.44/774.60
  6. Step 6: Final answer
    x = 726.73

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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.