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Finding the Fourth Proportional to 596.30, 892.76 and 390.42

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Solution

The fourth proportional to 596.30, 892.76 and 390.42 is: 584.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    596.30 : 892.76 = 390.42 : x
  2. Step 2: Convert to fraction form
    596.30/892.76 = 390.42/x
  3. Step 3: Cross multiply
    596.30x = 892.76 × 390.42
  4. Step 4: Simplify right side
    596.30x = 348,549.41
  5. Step 5: Solve for x
    x = 348,549.41/596.30
  6. Step 6: Final answer
    x = 584.53

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.