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Finding the Fourth Proportional to 771.07, 1,156.81 and 308.86

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Solution

The fourth proportional to 771.07, 1,156.81 and 308.86 is: 463.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    771.07 : 1,156.81 = 308.86 : x
  2. Step 2: Convert to fraction form
    771.07/1,156.81 = 308.86/x
  3. Step 3: Cross multiply
    771.07x = 1,156.81 × 308.86
  4. Step 4: Simplify right side
    771.07x = 357,294.89
  5. Step 5: Solve for x
    x = 357,294.89/771.07
  6. Step 6: Final answer
    x = 463.38

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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.