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Finding the Fourth Proportional to 691, 953.64 and 380.56

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Solution

The fourth proportional to 691, 953.64 and 380.56 is: 525.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    691 : 953.64 = 380.56 : x
  2. Step 2: Convert to fraction form
    691/953.64 = 380.56/x
  3. Step 3: Cross multiply
    691x = 953.64 × 380.56
  4. Step 4: Simplify right side
    691x = 362,917.24
  5. Step 5: Solve for x
    x = 362,917.24/691
  6. Step 6: Final answer
    x = 525.21

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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.