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Finding the Fourth Proportional to 771.67, 1,157.60 and 285.13

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Solution

The fourth proportional to 771.67, 1,157.60 and 285.13 is: 427.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    771.67 : 1,157.60 = 285.13 : x
  2. Step 2: Convert to fraction form
    771.67/1,157.60 = 285.13/x
  3. Step 3: Cross multiply
    771.67x = 1,157.60 × 285.13
  4. Step 4: Simplify right side
    771.67x = 330,066.49
  5. Step 5: Solve for x
    x = 330,066.49/771.67
  6. Step 6: Final answer
    x = 427.73

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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.