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Finding the Fourth Proportional to 771.59, 1,157.10 and 251.45

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Solution

The fourth proportional to 771.59, 1,157.10 and 251.45 is: 377.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    771.59 : 1,157.10 = 251.45 : x
  2. Step 2: Convert to fraction form
    771.59/1,157.10 = 251.45/x
  3. Step 3: Cross multiply
    771.59x = 1,157.10 × 251.45
  4. Step 4: Simplify right side
    771.59x = 290,947.01
  5. Step 5: Solve for x
    x = 290,947.01/771.59
  6. Step 6: Final answer
    x = 377.08

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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.