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Finding the Fourth Proportional to 594.69, 891.31 and 421.41

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Solution

The fourth proportional to 594.69, 891.31 and 421.41 is: 631.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    594.69 : 891.31 = 421.41 : x
  2. Step 2: Convert to fraction form
    594.69/891.31 = 421.41/x
  3. Step 3: Cross multiply
    594.69x = 891.31 × 421.41
  4. Step 4: Simplify right side
    594.69x = 375,606.95
  5. Step 5: Solve for x
    x = 375,606.95/594.69
  6. Step 6: Final answer
    x = 631.60

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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.