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Finding the Fourth Proportional to 594.30, 820.19 and 345.60

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Solution

The fourth proportional to 594.30, 820.19 and 345.60 is: 476.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    594.30 : 820.19 = 345.60 : x
  2. Step 2: Convert to fraction form
    594.30/820.19 = 345.60/x
  3. Step 3: Cross multiply
    594.30x = 820.19 × 345.60
  4. Step 4: Simplify right side
    594.30x = 283,457.66
  5. Step 5: Solve for x
    x = 283,457.66/594.30
  6. Step 6: Final answer
    x = 476.96

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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.