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Finding the Fourth Proportional to 594.41, 891.64 and 421.85

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Solution

The fourth proportional to 594.41, 891.64 and 421.85 is: 632.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    594.41 : 891.64 = 421.85 : x
  2. Step 2: Convert to fraction form
    594.41/891.64 = 421.85/x
  3. Step 3: Cross multiply
    594.41x = 891.64 × 421.85
  4. Step 4: Simplify right side
    594.41x = 376,131.77
  5. Step 5: Solve for x
    x = 376,131.77/594.41
  6. Step 6: Final answer
    x = 632.79

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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.