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Finding the Fourth Proportional to 770.34, 1,154.28 and 481.17

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Solution

The fourth proportional to 770.34, 1,154.28 and 481.17 is: 720.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    770.34 : 1,154.28 = 481.17 : x
  2. Step 2: Convert to fraction form
    770.34/1,154.28 = 481.17/x
  3. Step 3: Cross multiply
    770.34x = 1,154.28 × 481.17
  4. Step 4: Simplify right side
    770.34x = 555,404.91
  5. Step 5: Solve for x
    x = 555,404.91/770.34
  6. Step 6: Final answer
    x = 720.99

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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.