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Finding the Fourth Proportional to 459.45, 632.19 and 448.52

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Solution

The fourth proportional to 459.45, 632.19 and 448.52 is: 617.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    459.45 : 632.19 = 448.52 : x
  2. Step 2: Convert to fraction form
    459.45/632.19 = 448.52/x
  3. Step 3: Cross multiply
    459.45x = 632.19 × 448.52
  4. Step 4: Simplify right side
    459.45x = 283,546.70
  5. Step 5: Solve for x
    x = 283,546.70/459.45
  6. Step 6: Final answer
    x = 617.14

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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.