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Finding the Fourth Proportional to 459.98, 690.28 and 351.88

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Solution

The fourth proportional to 459.98, 690.28 and 351.88 is: 528.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    459.98 : 690.28 = 351.88 : x
  2. Step 2: Convert to fraction form
    459.98/690.28 = 351.88/x
  3. Step 3: Cross multiply
    459.98x = 690.28 × 351.88
  4. Step 4: Simplify right side
    459.98x = 242,895.73
  5. Step 5: Solve for x
    x = 242,895.73/459.98
  6. Step 6: Final answer
    x = 528.06

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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.