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Finding the Fourth Proportional to 613.29, 921.12 and 525.64

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Solution

The fourth proportional to 613.29, 921.12 and 525.64 is: 789.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    613.29 : 921.12 = 525.64 : x
  2. Step 2: Convert to fraction form
    613.29/921.12 = 525.64/x
  3. Step 3: Cross multiply
    613.29x = 921.12 × 525.64
  4. Step 4: Simplify right side
    613.29x = 484,175.21
  5. Step 5: Solve for x
    x = 484,175.21/613.29
  6. Step 6: Final answer
    x = 789.47

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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.