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Finding the Fourth Proportional to 594.19, 820.02 and 332.22

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Solution

The fourth proportional to 594.19, 820.02 and 332.22 is: 458.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    594.19 : 820.02 = 332.22 : x
  2. Step 2: Convert to fraction form
    594.19/820.02 = 332.22/x
  3. Step 3: Cross multiply
    594.19x = 820.02 × 332.22
  4. Step 4: Simplify right side
    594.19x = 272,427.04
  5. Step 5: Solve for x
    x = 272,427.04/594.19
  6. Step 6: Final answer
    x = 458.48

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.