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Finding the Fourth Proportional to 459.44, 687.93 and 386.54

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Solution

The fourth proportional to 459.44, 687.93 and 386.54 is: 578.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    459.44 : 687.93 = 386.54 : x
  2. Step 2: Convert to fraction form
    459.44/687.93 = 386.54/x
  3. Step 3: Cross multiply
    459.44x = 687.93 × 386.54
  4. Step 4: Simplify right side
    459.44x = 265,911.50
  5. Step 5: Solve for x
    x = 265,911.50/459.44
  6. Step 6: Final answer
    x = 578.77

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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.