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Finding the Fourth Proportional to 594.66, 820.64 and 358.62

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Solution

The fourth proportional to 594.66, 820.64 and 358.62 is: 494.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    594.66 : 820.64 = 358.62 : x
  2. Step 2: Convert to fraction form
    594.66/820.64 = 358.62/x
  3. Step 3: Cross multiply
    594.66x = 820.64 × 358.62
  4. Step 4: Simplify right side
    594.66x = 294,297.02
  5. Step 5: Solve for x
    x = 294,297.02/594.66
  6. Step 6: Final answer
    x = 494.90

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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.