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Finding the Fourth Proportional to 594.93, 820.21 and 408.35

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Solution

The fourth proportional to 594.93, 820.21 and 408.35 is: 562.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    594.93 : 820.21 = 408.35 : x
  2. Step 2: Convert to fraction form
    594.93/820.21 = 408.35/x
  3. Step 3: Cross multiply
    594.93x = 820.21 × 408.35
  4. Step 4: Simplify right side
    594.93x = 334,932.75
  5. Step 5: Solve for x
    x = 334,932.75/594.93
  6. Step 6: Final answer
    x = 562.98

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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.