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Finding the Fourth Proportional to 594.62, 820.68 and 346.10

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Solution

The fourth proportional to 594.62, 820.68 and 346.10 is: 477.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    594.62 : 820.68 = 346.10 : x
  2. Step 2: Convert to fraction form
    594.62/820.68 = 346.10/x
  3. Step 3: Cross multiply
    594.62x = 820.68 × 346.10
  4. Step 4: Simplify right side
    594.62x = 284,037.35
  5. Step 5: Solve for x
    x = 284,037.35/594.62
  6. Step 6: Final answer
    x = 477.68

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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.