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Finding the Fourth Proportional to 459.52, 687.44 and 314.80

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Solution

The fourth proportional to 459.52, 687.44 and 314.80 is: 470.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    459.52 : 687.44 = 314.80 : x
  2. Step 2: Convert to fraction form
    459.52/687.44 = 314.80/x
  3. Step 3: Cross multiply
    459.52x = 687.44 × 314.80
  4. Step 4: Simplify right side
    459.52x = 216,406.11
  5. Step 5: Solve for x
    x = 216,406.11/459.52
  6. Step 6: Final answer
    x = 470.94

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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.