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Finding the Fourth Proportional to 459.24, 686.94 and 285.48

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Solution

The fourth proportional to 459.24, 686.94 and 285.48 is: 427.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    459.24 : 686.94 = 285.48 : x
  2. Step 2: Convert to fraction form
    459.24/686.94 = 285.48/x
  3. Step 3: Cross multiply
    459.24x = 686.94 × 285.48
  4. Step 4: Simplify right side
    459.24x = 196,107.63
  5. Step 5: Solve for x
    x = 196,107.63/459.24
  6. Step 6: Final answer
    x = 427.03

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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.