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Finding the Fourth Proportional to 459, 688.84 and 304.88

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Solution

The fourth proportional to 459, 688.84 and 304.88 is: 457.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    459 : 688.84 = 304.88 : x
  2. Step 2: Convert to fraction form
    459/688.84 = 304.88/x
  3. Step 3: Cross multiply
    459x = 688.84 × 304.88
  4. Step 4: Simplify right side
    459x = 210,013.54
  5. Step 5: Solve for x
    x = 210,013.54/459
  6. Step 6: Final answer
    x = 457.55

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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.