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Finding the Fourth Proportional to 771.60, 1,157.22 and 284.70

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Solution

The fourth proportional to 771.60, 1,157.22 and 284.70 is: 426.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    771.60 : 1,157.22 = 284.70 : x
  2. Step 2: Convert to fraction form
    771.60/1,157.22 = 284.70/x
  3. Step 3: Cross multiply
    771.60x = 1,157.22 × 284.70
  4. Step 4: Simplify right side
    771.60x = 329,460.53
  5. Step 5: Solve for x
    x = 329,460.53/771.60
  6. Step 6: Final answer
    x = 426.98

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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.