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Finding the Fourth Proportional to 722.34, 997.14 and 427.62

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Solution

The fourth proportional to 722.34, 997.14 and 427.62 is: 590.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    722.34 : 997.14 = 427.62 : x
  2. Step 2: Convert to fraction form
    722.34/997.14 = 427.62/x
  3. Step 3: Cross multiply
    722.34x = 997.14 × 427.62
  4. Step 4: Simplify right side
    722.34x = 426,397.01
  5. Step 5: Solve for x
    x = 426,397.01/722.34
  6. Step 6: Final answer
    x = 590.30

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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.