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Finding the Fourth Proportional to 594.30, 819.78 and 358.08

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Solution

The fourth proportional to 594.30, 819.78 and 358.08 is: 493.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    594.30 : 819.78 = 358.08 : x
  2. Step 2: Convert to fraction form
    594.30/819.78 = 358.08/x
  3. Step 3: Cross multiply
    594.30x = 819.78 × 358.08
  4. Step 4: Simplify right side
    594.30x = 293,546.82
  5. Step 5: Solve for x
    x = 293,546.82/594.30
  6. Step 6: Final answer
    x = 493.94

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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.