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Finding the Fourth Proportional to 594.72, 820.74 and 420.12

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Solution

The fourth proportional to 594.72, 820.74 and 420.12 is: 579.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    594.72 : 820.74 = 420.12 : x
  2. Step 2: Convert to fraction form
    594.72/820.74 = 420.12/x
  3. Step 3: Cross multiply
    594.72x = 820.74 × 420.12
  4. Step 4: Simplify right side
    594.72x = 344,809.29
  5. Step 5: Solve for x
    x = 344,809.29/594.72
  6. Step 6: Final answer
    x = 579.78

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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.