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Finding the Fourth Proportional to 771.86, 1,157.06 and 258.50

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Solution

The fourth proportional to 771.86, 1,157.06 and 258.50 is: 387.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    771.86 : 1,157.06 = 258.50 : x
  2. Step 2: Convert to fraction form
    771.86/1,157.06 = 258.50/x
  3. Step 3: Cross multiply
    771.86x = 1,157.06 × 258.50
  4. Step 4: Simplify right side
    771.86x = 299,100.01
  5. Step 5: Solve for x
    x = 299,100.01/771.86
  6. Step 6: Final answer
    x = 387.51

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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.