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Finding the Fourth Proportional to 459.12, 687.14 and 376.85

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Solution

The fourth proportional to 459.12, 687.14 and 376.85 is: 564.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    459.12 : 687.14 = 376.85 : x
  2. Step 2: Convert to fraction form
    459.12/687.14 = 376.85/x
  3. Step 3: Cross multiply
    459.12x = 687.14 × 376.85
  4. Step 4: Simplify right side
    459.12x = 258,946.03
  5. Step 5: Solve for x
    x = 258,946.03/459.12
  6. Step 6: Final answer
    x = 564.01

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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.