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Finding the Fourth Proportional to 434.82, 596.03 and 428.98

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Solution

The fourth proportional to 434.82, 596.03 and 428.98 is: 588.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    434.82 : 596.03 = 428.98 : x
  2. Step 2: Convert to fraction form
    434.82/596.03 = 428.98/x
  3. Step 3: Cross multiply
    434.82x = 596.03 × 428.98
  4. Step 4: Simplify right side
    434.82x = 255,682.80
  5. Step 5: Solve for x
    x = 255,682.80/434.82
  6. Step 6: Final answer
    x = 588.02

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.