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Finding the Fourth Proportional to 600.89, 830.63 and 427.73

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Solution

The fourth proportional to 600.89, 830.63 and 427.73 is: 591.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    600.89 : 830.63 = 427.73 : x
  2. Step 2: Convert to fraction form
    600.89/830.63 = 427.73/x
  3. Step 3: Cross multiply
    600.89x = 830.63 × 427.73
  4. Step 4: Simplify right side
    600.89x = 355,282.29
  5. Step 5: Solve for x
    x = 355,282.29/600.89
  6. Step 6: Final answer
    x = 591.27

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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.