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Finding the Fourth Proportional to 722.69, 997.25 and 427.90

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Solution

The fourth proportional to 722.69, 997.25 and 427.90 is: 590.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    722.69 : 997.25 = 427.90 : x
  2. Step 2: Convert to fraction form
    722.69/997.25 = 427.90/x
  3. Step 3: Cross multiply
    722.69x = 997.25 × 427.90
  4. Step 4: Simplify right side
    722.69x = 426,723.28
  5. Step 5: Solve for x
    x = 426,723.28/722.69
  6. Step 6: Final answer
    x = 590.47

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1.5x scale

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.