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Finding the Fourth Proportional to 774.60, 1,160.65 and 427.42

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Solution

The fourth proportional to 774.60, 1,160.65 and 427.42 is: 640.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    774.60 : 1,160.65 = 427.42 : x
  2. Step 2: Convert to fraction form
    774.60/1,160.65 = 427.42/x
  3. Step 3: Cross multiply
    774.60x = 1,160.65 × 427.42
  4. Step 4: Simplify right side
    774.60x = 496,085.02
  5. Step 5: Solve for x
    x = 496,085.02/774.60
  6. Step 6: Final answer
    x = 640.44

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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.