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Finding the Fourth Proportional to 459.47, 632.99 and 376.44

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Solution

The fourth proportional to 459.47, 632.99 and 376.44 is: 518.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    459.47 : 632.99 = 376.44 : x
  2. Step 2: Convert to fraction form
    459.47/632.99 = 376.44/x
  3. Step 3: Cross multiply
    459.47x = 632.99 × 376.44
  4. Step 4: Simplify right side
    459.47x = 238,282.76
  5. Step 5: Solve for x
    x = 238,282.76/459.47
  6. Step 6: Final answer
    x = 518.60

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.