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Finding the Fourth Proportional to 594.50, 890.77 and 420.32

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Solution

The fourth proportional to 594.50, 890.77 and 420.32 is: 629.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    594.50 : 890.77 = 420.32 : x
  2. Step 2: Convert to fraction form
    594.50/890.77 = 420.32/x
  3. Step 3: Cross multiply
    594.50x = 890.77 × 420.32
  4. Step 4: Simplify right side
    594.50x = 374,408.45
  5. Step 5: Solve for x
    x = 374,408.45/594.50
  6. Step 6: Final answer
    x = 629.79

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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.