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Finding the Fourth Proportional to 594.43, 890.35 and 431.75

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Solution

The fourth proportional to 594.43, 890.35 and 431.75 is: 646.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    594.43 : 890.35 = 431.75 : x
  2. Step 2: Convert to fraction form
    594.43/890.35 = 431.75/x
  3. Step 3: Cross multiply
    594.43x = 890.35 × 431.75
  4. Step 4: Simplify right side
    594.43x = 384,408.61
  5. Step 5: Solve for x
    x = 384,408.61/594.43
  6. Step 6: Final answer
    x = 646.68

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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.