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Finding the Fourth Proportional to 594.00, 819.60 and 345.20

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Solution

The fourth proportional to 594.00, 819.60 and 345.20 is: 476.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    594.00 : 819.60 = 345.20 : x
  2. Step 2: Convert to fraction form
    594.00/819.60 = 345.20/x
  3. Step 3: Cross multiply
    594.00x = 819.60 × 345.20
  4. Step 4: Simplify right side
    594.00x = 282,920.10
  5. Step 5: Solve for x
    x = 282,920.10/594.00
  6. Step 6: Final answer
    x = 476.29

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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.