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Finding the Fourth Proportional to 596.82, 896.02 and 434.40

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Solution

The fourth proportional to 596.82, 896.02 and 434.40 is: 652.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    596.82 : 896.02 = 434.40 : x
  2. Step 2: Convert to fraction form
    596.82/896.02 = 434.40/x
  3. Step 3: Cross multiply
    596.82x = 896.02 × 434.40
  4. Step 4: Simplify right side
    596.82x = 389,231.09
  5. Step 5: Solve for x
    x = 389,231.09/596.82
  6. Step 6: Final answer
    x = 652.18

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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.