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Finding the Fourth Proportional to 770.88, 1,156.42 and 308.71

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Solution

The fourth proportional to 770.88, 1,156.42 and 308.71 is: 463.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    770.88 : 1,156.42 = 308.71 : x
  2. Step 2: Convert to fraction form
    770.88/1,156.42 = 308.71/x
  3. Step 3: Cross multiply
    770.88x = 1,156.42 × 308.71
  4. Step 4: Simplify right side
    770.88x = 356,992.64
  5. Step 5: Solve for x
    x = 356,992.64/770.88
  6. Step 6: Final answer
    x = 463.10

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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.