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Finding the Fourth Proportional to 459.74, 688.25 and 285.85

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Solution

The fourth proportional to 459.74, 688.25 and 285.85 is: 427.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    459.74 : 688.25 = 285.85 : x
  2. Step 2: Convert to fraction form
    459.74/688.25 = 285.85/x
  3. Step 3: Cross multiply
    459.74x = 688.25 × 285.85
  4. Step 4: Simplify right side
    459.74x = 196,732.82
  5. Step 5: Solve for x
    x = 196,732.82/459.74
  6. Step 6: Final answer
    x = 427.93

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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.