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Finding the Fourth Proportional to 594.46, 820.32 and 345.74

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Solution

The fourth proportional to 594.46, 820.32 and 345.74 is: 477.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    594.46 : 820.32 = 345.74 : x
  2. Step 2: Convert to fraction form
    594.46/820.32 = 345.74/x
  3. Step 3: Cross multiply
    594.46x = 820.32 × 345.74
  4. Step 4: Simplify right side
    594.46x = 283,617.44
  5. Step 5: Solve for x
    x = 283,617.44/594.46
  6. Step 6: Final answer
    x = 477.10

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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.