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Finding the Fourth Proportional to 691.46, 954.21 and 380.96

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Solution

The fourth proportional to 691.46, 954.21 and 380.96 is: 525.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    691.46 : 954.21 = 380.96 : x
  2. Step 2: Convert to fraction form
    691.46/954.21 = 380.96/x
  3. Step 3: Cross multiply
    691.46x = 954.21 × 380.96
  4. Step 4: Simplify right side
    691.46x = 363,515.84
  5. Step 5: Solve for x
    x = 363,515.84/691.46
  6. Step 6: Final answer
    x = 525.72

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.