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Finding the Fourth Proportional to 594.62, 821.31 and 420.74

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Solution

The fourth proportional to 594.62, 821.31 and 420.74 is: 581.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    594.62 : 821.31 = 420.74 : x
  2. Step 2: Convert to fraction form
    594.62/821.31 = 420.74/x
  3. Step 3: Cross multiply
    594.62x = 821.31 × 420.74
  4. Step 4: Simplify right side
    594.62x = 345,557.97
  5. Step 5: Solve for x
    x = 345,557.97/594.62
  6. Step 6: Final answer
    x = 581.14

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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.