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Finding the Fourth Proportional to 594.57, 820.49 and 420.15

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Solution

The fourth proportional to 594.57, 820.49 and 420.15 is: 579.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    594.57 : 820.49 = 420.15 : x
  2. Step 2: Convert to fraction form
    594.57/820.49 = 420.15/x
  3. Step 3: Cross multiply
    594.57x = 820.49 × 420.15
  4. Step 4: Simplify right side
    594.57x = 344,726.77
  5. Step 5: Solve for x
    x = 344,726.77/594.57
  6. Step 6: Final answer
    x = 579.79

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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.