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Finding the Fourth Proportional to 771.98, 1,157.87 and 285.03

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Solution

The fourth proportional to 771.98, 1,157.87 and 285.03 is: 427.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    771.98 : 1,157.87 = 285.03 : x
  2. Step 2: Convert to fraction form
    771.98/1,157.87 = 285.03/x
  3. Step 3: Cross multiply
    771.98x = 1,157.87 × 285.03
  4. Step 4: Simplify right side
    771.98x = 330,026.26
  5. Step 5: Solve for x
    x = 330,026.26/771.98
  6. Step 6: Final answer
    x = 427.51

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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.