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Finding the Fourth Proportional to 598.62, 897.12 and 517.62

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Solution

The fourth proportional to 598.62, 897.12 and 517.62 is: 775.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    598.62 : 897.12 = 517.62 : x
  2. Step 2: Convert to fraction form
    598.62/897.12 = 517.62/x
  3. Step 3: Cross multiply
    598.62x = 897.12 × 517.62
  4. Step 4: Simplify right side
    598.62x = 464,367.25
  5. Step 5: Solve for x
    x = 464,367.25/598.62
  6. Step 6: Final answer
    x = 775.73

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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.