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Finding the Fourth Proportional to 459.44, 688.80 and 440.51

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Solution

The fourth proportional to 459.44, 688.80 and 440.51 is: 660.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    459.44 : 688.80 = 440.51 : x
  2. Step 2: Convert to fraction form
    459.44/688.80 = 440.51/x
  3. Step 3: Cross multiply
    459.44x = 688.80 × 440.51
  4. Step 4: Simplify right side
    459.44x = 303,421.50
  5. Step 5: Solve for x
    x = 303,421.50/459.44
  6. Step 6: Final answer
    x = 660.42

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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.