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Finding the Fourth Proportional to 770.97, 1,156.52 and 332.12

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Solution

The fourth proportional to 770.97, 1,156.52 and 332.12 is: 498.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    770.97 : 1,156.52 = 332.12 : x
  2. Step 2: Convert to fraction form
    770.97/1,156.52 = 332.12/x
  3. Step 3: Cross multiply
    770.97x = 1,156.52 × 332.12
  4. Step 4: Simplify right side
    770.97x = 384,103.42
  5. Step 5: Solve for x
    x = 384,103.42/770.97
  6. Step 6: Final answer
    x = 498.21

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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.